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Finding the Third Proportional to 432,496 and 688,716

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Solution

The third proportional to 432,496 and 688,716 is: 1,096,726.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,496 : 688,716 = 688,716 : x
  2. Step 2: Convert to fraction form
    432,496/688,716 = 688,716/x
  3. Step 3: Cross multiply
    432,496x = 688,716 × 688,716
  4. Step 4: Simplify right side
    432,496x = 474,329,728,656
  5. Step 5: Solve for x
    x = 474,329,728,656/432,496
  6. Step 6: Final answer
    x = 1,096,726.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.