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Finding the Third Proportional to 316,042 and 688,892

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Solution

The third proportional to 316,042 and 688,892 is: 1,501,611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,042 : 688,892 = 688,892 : x
  2. Step 2: Convert to fraction form
    316,042/688,892 = 688,892/x
  3. Step 3: Cross multiply
    316,042x = 688,892 × 688,892
  4. Step 4: Simplify right side
    316,042x = 474,572,187,664
  5. Step 5: Solve for x
    x = 474,572,187,664/316,042
  6. Step 6: Final answer
    x = 1,501,611.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.