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Finding the Third Proportional to 151,446 and 312,604

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Solution

The third proportional to 151,446 and 312,604 is: 645,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,446 : 312,604 = 312,604 : x
  2. Step 2: Convert to fraction form
    151,446/312,604 = 312,604/x
  3. Step 3: Cross multiply
    151,446x = 312,604 × 312,604
  4. Step 4: Simplify right side
    151,446x = 97,721,260,816
  5. Step 5: Solve for x
    x = 97,721,260,816/151,446
  6. Step 6: Final answer
    x = 645,254.82

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.