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Finding the Third Proportional to 54,776 and 84,487

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Solution

The third proportional to 54,776 and 84,487 is: 130,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,776 : 84,487 = 84,487 : x
  2. Step 2: Convert to fraction form
    54,776/84,487 = 84,487/x
  3. Step 3: Cross multiply
    54,776x = 84,487 × 84,487
  4. Step 4: Simplify right side
    54,776x = 7,138,053,169
  5. Step 5: Solve for x
    x = 7,138,053,169/54,776
  6. Step 6: Final answer
    x = 130,313.52

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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.