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Finding the Third Proportional to 354,601.55 and 542,512.69

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Solution

The third proportional to 354,601.55 and 542,512.69 is: 830,002.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,601.55 : 542,512.69 = 542,512.69 : x
  2. Step 2: Convert to fraction form
    354,601.55/542,512.69 = 542,512.69/x
  3. Step 3: Cross multiply
    354,601.55x = 542,512.69 × 542,512.69
  4. Step 4: Simplify right side
    354,601.55x = 294,320,016,098.47
  5. Step 5: Solve for x
    x = 294,320,016,098.47/354,601.55
  6. Step 6: Final answer
    x = 830,002.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.