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Finding the Third Proportional to 86,402 and 137,379

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Solution

The third proportional to 86,402 and 137,379 is: 218,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,402 : 137,379 = 137,379 : x
  2. Step 2: Convert to fraction form
    86,402/137,379 = 137,379/x
  3. Step 3: Cross multiply
    86,402x = 137,379 × 137,379
  4. Step 4: Simplify right side
    86,402x = 18,872,989,641
  5. Step 5: Solve for x
    x = 18,872,989,641/86,402
  6. Step 6: Final answer
    x = 218,432.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.