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Finding the Third Proportional to 78,864 and 121,752

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Solution

The third proportional to 78,864 and 121,752 is: 187,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,864 : 121,752 = 121,752 : x
  2. Step 2: Convert to fraction form
    78,864/121,752 = 121,752/x
  3. Step 3: Cross multiply
    78,864x = 121,752 × 121,752
  4. Step 4: Simplify right side
    78,864x = 14,823,549,504
  5. Step 5: Solve for x
    x = 14,823,549,504/78,864
  6. Step 6: Final answer
    x = 187,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.