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Finding the Third Proportional to 92,434.50 and 142,728.75

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Solution

The third proportional to 92,434.50 and 142,728.75 is: 220,388.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,434.50 : 142,728.75 = 142,728.75 : x
  2. Step 2: Convert to fraction form
    92,434.50/142,728.75 = 142,728.75/x
  3. Step 3: Cross multiply
    92,434.50x = 142,728.75 × 142,728.75
  4. Step 4: Simplify right side
    92,434.50x = 20,371,496,076.56
  5. Step 5: Solve for x
    x = 20,371,496,076.56/92,434.50
  6. Step 6: Final answer
    x = 220,388.45

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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.