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Finding the Third Proportional to 542,500.50 and 811,989

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Solution

The third proportional to 542,500.50 and 811,989 is: 1,215,346.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,500.50 : 811,989 = 811,989 : x
  2. Step 2: Convert to fraction form
    542,500.50/811,989 = 811,989/x
  3. Step 3: Cross multiply
    542,500.50x = 811,989 × 811,989
  4. Step 4: Simplify right side
    542,500.50x = 659,326,136,121
  5. Step 5: Solve for x
    x = 659,326,136,121/542,500.50
  6. Step 6: Final answer
    x = 1,215,346.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.