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Finding the Third Proportional to 313,910 and 686,502

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Solution

The third proportional to 313,910 and 686,502 is: 1,501,337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,910 : 686,502 = 686,502 : x
  2. Step 2: Convert to fraction form
    313,910/686,502 = 686,502/x
  3. Step 3: Cross multiply
    313,910x = 686,502 × 686,502
  4. Step 4: Simplify right side
    313,910x = 471,284,996,004
  5. Step 5: Solve for x
    x = 471,284,996,004/313,910
  6. Step 6: Final answer
    x = 1,501,337.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.