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Finding the Third Proportional to 78,752.25 and 121,044.38

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Solution

The third proportional to 78,752.25 and 121,044.38 is: 186,048.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,752.25 : 121,044.38 = 121,044.38 : x
  2. Step 2: Convert to fraction form
    78,752.25/121,044.38 = 121,044.38/x
  3. Step 3: Cross multiply
    78,752.25x = 121,044.38 × 121,044.38
  4. Step 4: Simplify right side
    78,752.25x = 14,651,740,719.14
  5. Step 5: Solve for x
    x = 14,651,740,719.14/78,752.25
  6. Step 6: Final answer
    x = 186,048.53

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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.