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Finding the Third Proportional to 299,612 and 455,552

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Solution

The third proportional to 299,612 and 455,552 is: 692,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,612 : 455,552 = 455,552 : x
  2. Step 2: Convert to fraction form
    299,612/455,552 = 455,552/x
  3. Step 3: Cross multiply
    299,612x = 455,552 × 455,552
  4. Step 4: Simplify right side
    299,612x = 207,527,624,704
  5. Step 5: Solve for x
    x = 207,527,624,704/299,612
  6. Step 6: Final answer
    x = 692,654.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.