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Finding the Third Proportional to 54,487 and 83,315

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Solution

The third proportional to 54,487 and 83,315 is: 127,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,487 : 83,315 = 83,315 : x
  2. Step 2: Convert to fraction form
    54,487/83,315 = 83,315/x
  3. Step 3: Cross multiply
    54,487x = 83,315 × 83,315
  4. Step 4: Simplify right side
    54,487x = 6,941,389,225
  5. Step 5: Solve for x
    x = 6,941,389,225/54,487
  6. Step 6: Final answer
    x = 127,395.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.