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Finding the Third Proportional to 475,520 and 738,672

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Solution

The third proportional to 475,520 and 738,672 is: 1,147,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,520 : 738,672 = 738,672 : x
  2. Step 2: Convert to fraction form
    475,520/738,672 = 738,672/x
  3. Step 3: Cross multiply
    475,520x = 738,672 × 738,672
  4. Step 4: Simplify right side
    475,520x = 545,636,323,584
  5. Step 5: Solve for x
    x = 545,636,323,584/475,520
  6. Step 6: Final answer
    x = 1,147,451.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.