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Finding the Third Proportional to 266,764 and 390,160

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Solution

The third proportional to 266,764 and 390,160 is: 570,634.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,764 : 390,160 = 390,160 : x
  2. Step 2: Convert to fraction form
    266,764/390,160 = 390,160/x
  3. Step 3: Cross multiply
    266,764x = 390,160 × 390,160
  4. Step 4: Simplify right side
    266,764x = 152,224,825,600
  5. Step 5: Solve for x
    x = 152,224,825,600/266,764
  6. Step 6: Final answer
    x = 570,634.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.