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Finding the Third Proportional to 432,288 and 646,704

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Solution

The third proportional to 432,288 and 646,704 is: 967,470.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,288 : 646,704 = 646,704 : x
  2. Step 2: Convert to fraction form
    432,288/646,704 = 646,704/x
  3. Step 3: Cross multiply
    432,288x = 646,704 × 646,704
  4. Step 4: Simplify right side
    432,288x = 418,226,063,616
  5. Step 5: Solve for x
    x = 418,226,063,616/432,288
  6. Step 6: Final answer
    x = 967,470.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.