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Finding the Third Proportional to 542,781 and 1,157,701.50

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Solution

The third proportional to 542,781 and 1,157,701.50 is: 2,469,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,781 : 1,157,701.50 = 1,157,701.50 : x
  2. Step 2: Convert to fraction form
    542,781/1,157,701.50 = 1,157,701.50/x
  3. Step 3: Cross multiply
    542,781x = 1,157,701.50 × 1,157,701.50
  4. Step 4: Simplify right side
    542,781x = 1,340,272,763,102.25
  5. Step 5: Solve for x
    x = 1,340,272,763,102.25/542,781
  6. Step 6: Final answer
    x = 2,469,269.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.