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Finding the Third Proportional to 272,737.13 and 409,477.78

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Solution

The third proportional to 272,737.13 and 409,477.78 is: 614,775.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,737.13 : 409,477.78 = 409,477.78 : x
  2. Step 2: Convert to fraction form
    272,737.13/409,477.78 = 409,477.78/x
  3. Step 3: Cross multiply
    272,737.13x = 409,477.78 × 409,477.78
  4. Step 4: Simplify right side
    272,737.13x = 167,672,053,337.42
  5. Step 5: Solve for x
    x = 167,672,053,337.42/272,737.13
  6. Step 6: Final answer
    x = 614,775.32

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Why These Related Problems?

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