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Finding the Third Proportional to 78,541 and 121,343.50

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Solution

The third proportional to 78,541 and 121,343.50 is: 187,472.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,541 : 121,343.50 = 121,343.50 : x
  2. Step 2: Convert to fraction form
    78,541/121,343.50 = 121,343.50/x
  3. Step 3: Cross multiply
    78,541x = 121,343.50 × 121,343.50
  4. Step 4: Simplify right side
    78,541x = 14,724,244,992.25
  5. Step 5: Solve for x
    x = 14,724,244,992.25/78,541
  6. Step 6: Final answer
    x = 187,472.08

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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.