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Finding the Third Proportional to 266,266,078,295 and 570,233,132,253

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Solution

The third proportional to 266,266,078,295 and 570,233,132,253 is: 1,221,206,348,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,266,078,295 : 570,233,132,253 = 570,233,132,253 : x
  2. Step 2: Convert to fraction form
    266,266,078,295/570,233,132,253 = 570,233,132,253/x
  3. Step 3: Cross multiply
    266,266,078,295x = 570,233,132,253 × 570,233,132,253
  4. Step 4: Simplify right side
    266,266,078,295x = 325,165,825,119,067,360,460,800
  5. Step 5: Solve for x
    x = 325,165,825,119,067,360,460,800/266,266,078,295
  6. Step 6: Final answer
    x = 1,221,206,348,180.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.