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Finding the Third Proportional to 518,683.50 and 788,686.88

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Solution

The third proportional to 518,683.50 and 788,686.88 is: 1,199,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,683.50 : 788,686.88 = 788,686.88 : x
  2. Step 2: Convert to fraction form
    518,683.50/788,686.88 = 788,686.88/x
  3. Step 3: Cross multiply
    518,683.50x = 788,686.88 × 788,686.88
  4. Step 4: Simplify right side
    518,683.50x = 622,026,986,797.27
  5. Step 5: Solve for x
    x = 622,026,986,797.27/518,683.50
  6. Step 6: Final answer
    x = 1,199,241.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.