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Finding the Third Proportional to 337,283 and 688,115

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Solution

The third proportional to 337,283 and 688,115 is: 1,403,872.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,283 : 688,115 = 688,115 : x
  2. Step 2: Convert to fraction form
    337,283/688,115 = 688,115/x
  3. Step 3: Cross multiply
    337,283x = 688,115 × 688,115
  4. Step 4: Simplify right side
    337,283x = 473,502,253,225
  5. Step 5: Solve for x
    x = 473,502,253,225/337,283
  6. Step 6: Final answer
    x = 1,403,872.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.