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Finding the Third Proportional to 86,684 and 137,547

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Solution

The third proportional to 86,684 and 137,547 is: 218,254.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,684 : 137,547 = 137,547 : x
  2. Step 2: Convert to fraction form
    86,684/137,547 = 137,547/x
  3. Step 3: Cross multiply
    86,684x = 137,547 × 137,547
  4. Step 4: Simplify right side
    86,684x = 18,919,177,209
  5. Step 5: Solve for x
    x = 18,919,177,209/86,684
  6. Step 6: Final answer
    x = 218,254.55

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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.