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Finding the Third Proportional to 54,146 and 86,403

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Solution

The third proportional to 54,146 and 86,403 is: 137,876.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,146 : 86,403 = 86,403 : x
  2. Step 2: Convert to fraction form
    54,146/86,403 = 86,403/x
  3. Step 3: Cross multiply
    54,146x = 86,403 × 86,403
  4. Step 4: Simplify right side
    54,146x = 7,465,478,409
  5. Step 5: Solve for x
    x = 7,465,478,409/54,146
  6. Step 6: Final answer
    x = 137,876.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.