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Finding the Third Proportional to 78,421.50 and 121,520.25

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Solution

The third proportional to 78,421.50 and 121,520.25 is: 188,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421.50 : 121,520.25 = 121,520.25 : x
  2. Step 2: Convert to fraction form
    78,421.50/121,520.25 = 121,520.25/x
  3. Step 3: Cross multiply
    78,421.50x = 121,520.25 × 121,520.25
  4. Step 4: Simplify right side
    78,421.50x = 14,767,171,160.06
  5. Step 5: Solve for x
    x = 14,767,171,160.06/78,421.50
  6. Step 6: Final answer
    x = 188,305.14

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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.