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Finding the Third Proportional to 266,656 and 563,288

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Solution

The third proportional to 266,656 and 563,288 is: 1,189,897.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,656 : 563,288 = 563,288 : x
  2. Step 2: Convert to fraction form
    266,656/563,288 = 563,288/x
  3. Step 3: Cross multiply
    266,656x = 563,288 × 563,288
  4. Step 4: Simplify right side
    266,656x = 317,293,370,944
  5. Step 5: Solve for x
    x = 317,293,370,944/266,656
  6. Step 6: Final answer
    x = 1,189,897.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.