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Finding the Third Proportional to 78,282 and 121,239

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Solution

The third proportional to 78,282 and 121,239 is: 187,768.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,282 : 121,239 = 121,239 : x
  2. Step 2: Convert to fraction form
    78,282/121,239 = 121,239/x
  3. Step 3: Cross multiply
    78,282x = 121,239 × 121,239
  4. Step 4: Simplify right side
    78,282x = 14,698,895,121
  5. Step 5: Solve for x
    x = 14,698,895,121/78,282
  6. Step 6: Final answer
    x = 187,768.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.