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Finding the Third Proportional to 181,440 and 272,007

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Solution

The third proportional to 181,440 and 272,007 is: 407,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,440 : 272,007 = 272,007 : x
  2. Step 2: Convert to fraction form
    181,440/272,007 = 272,007/x
  3. Step 3: Cross multiply
    181,440x = 272,007 × 272,007
  4. Step 4: Simplify right side
    181,440x = 73,987,808,049
  5. Step 5: Solve for x
    x = 73,987,808,049/181,440
  6. Step 6: Final answer
    x = 407,781.13

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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.