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Finding the Third Proportional to 177,246 and 272,440

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Solution

The third proportional to 177,246 and 272,440 is: 418,760.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,246 : 272,440 = 272,440 : x
  2. Step 2: Convert to fraction form
    177,246/272,440 = 272,440/x
  3. Step 3: Cross multiply
    177,246x = 272,440 × 272,440
  4. Step 4: Simplify right side
    177,246x = 74,223,553,600
  5. Step 5: Solve for x
    x = 74,223,553,600/177,246
  6. Step 6: Final answer
    x = 418,760.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.