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Finding the Third Proportional to 102,518 and 137,920

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Solution

The third proportional to 102,518 and 137,920 is: 185,547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,518 : 137,920 = 137,920 : x
  2. Step 2: Convert to fraction form
    102,518/137,920 = 137,920/x
  3. Step 3: Cross multiply
    102,518x = 137,920 × 137,920
  4. Step 4: Simplify right side
    102,518x = 19,021,926,400
  5. Step 5: Solve for x
    x = 19,021,926,400/102,518
  6. Step 6: Final answer
    x = 185,547.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.