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Finding the Third Proportional to 92,278.50 and 142,500.50

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Solution

The third proportional to 92,278.50 and 142,500.50 is: 220,055.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278.50 : 142,500.50 = 142,500.50 : x
  2. Step 2: Convert to fraction form
    92,278.50/142,500.50 = 142,500.50/x
  3. Step 3: Cross multiply
    92,278.50x = 142,500.50 × 142,500.50
  4. Step 4: Simplify right side
    92,278.50x = 20,306,392,500.25
  5. Step 5: Solve for x
    x = 20,306,392,500.25/92,278.50
  6. Step 6: Final answer
    x = 220,055.51

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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.