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Finding the Third Proportional to 78,154.88 and 121,093.31

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Solution

The third proportional to 78,154.88 and 121,093.31 is: 187,622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,154.88 : 121,093.31 = 121,093.31 : x
  2. Step 2: Convert to fraction form
    78,154.88/121,093.31 = 121,093.31/x
  3. Step 3: Cross multiply
    78,154.88x = 121,093.31 × 121,093.31
  4. Step 4: Simplify right side
    78,154.88x = 14,663,590,332.22
  5. Step 5: Solve for x
    x = 14,663,590,332.22/78,154.88
  6. Step 6: Final answer
    x = 187,622.21

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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.