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Finding the Third Proportional to 432,866 and 665,715

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Solution

The third proportional to 432,866 and 665,715 is: 1,023,819.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,866 : 665,715 = 665,715 : x
  2. Step 2: Convert to fraction form
    432,866/665,715 = 665,715/x
  3. Step 3: Cross multiply
    432,866x = 665,715 × 665,715
  4. Step 4: Simplify right side
    432,866x = 443,176,461,225
  5. Step 5: Solve for x
    x = 443,176,461,225/432,866
  6. Step 6: Final answer
    x = 1,023,819.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.