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Finding the Third Proportional to 54,324 and 85,860

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Solution

The third proportional to 54,324 and 85,860 is: 135,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,324 : 85,860 = 85,860 : x
  2. Step 2: Convert to fraction form
    54,324/85,860 = 85,860/x
  3. Step 3: Cross multiply
    54,324x = 85,860 × 85,860
  4. Step 4: Simplify right side
    54,324x = 7,371,939,600
  5. Step 5: Solve for x
    x = 7,371,939,600/54,324
  6. Step 6: Final answer
    x = 135,703.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.