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Finding the Third Proportional to 55,272 and 119,280

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Solution

The third proportional to 55,272 and 119,280 is: 257,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,272 : 119,280 = 119,280 : x
  2. Step 2: Convert to fraction form
    55,272/119,280 = 119,280/x
  3. Step 3: Cross multiply
    55,272x = 119,280 × 119,280
  4. Step 4: Simplify right side
    55,272x = 14,227,718,400
  5. Step 5: Solve for x
    x = 14,227,718,400/55,272
  6. Step 6: Final answer
    x = 257,412.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.