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Finding the Third Proportional to 432,666 and 645,399

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Solution

The third proportional to 432,666 and 645,399 is: 962,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,666 : 645,399 = 645,399 : x
  2. Step 2: Convert to fraction form
    432,666/645,399 = 645,399/x
  3. Step 3: Cross multiply
    432,666x = 645,399 × 645,399
  4. Step 4: Simplify right side
    432,666x = 416,539,869,201
  5. Step 5: Solve for x
    x = 416,539,869,201/432,666
  6. Step 6: Final answer
    x = 962,728.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.