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Finding the Third Proportional to 432,376 and 690,714

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Solution

The third proportional to 432,376 and 690,714 is: 1,103,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,376 : 690,714 = 690,714 : x
  2. Step 2: Convert to fraction form
    432,376/690,714 = 690,714/x
  3. Step 3: Cross multiply
    432,376x = 690,714 × 690,714
  4. Step 4: Simplify right side
    432,376x = 477,085,829,796
  5. Step 5: Solve for x
    x = 477,085,829,796/432,376
  6. Step 6: Final answer
    x = 1,103,404.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.