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Finding the Third Proportional to 432,516 and 688,742

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Solution

The third proportional to 432,516 and 688,742 is: 1,096,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,516 : 688,742 = 688,742 : x
  2. Step 2: Convert to fraction form
    432,516/688,742 = 688,742/x
  3. Step 3: Cross multiply
    432,516x = 688,742 × 688,742
  4. Step 4: Simplify right side
    432,516x = 474,365,542,564
  5. Step 5: Solve for x
    x = 474,365,542,564/432,516
  6. Step 6: Final answer
    x = 1,096,758.37

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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.