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Finding the Third Proportional to 316,790 and 689,349

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Solution

The third proportional to 316,790 and 689,349 is: 1,500,053.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,790 : 689,349 = 689,349 : x
  2. Step 2: Convert to fraction form
    316,790/689,349 = 689,349/x
  3. Step 3: Cross multiply
    316,790x = 689,349 × 689,349
  4. Step 4: Simplify right side
    316,790x = 475,202,043,801
  5. Step 5: Solve for x
    x = 475,202,043,801/316,790
  6. Step 6: Final answer
    x = 1,500,053.80

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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.