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Finding the Third Proportional to 550,987.31 and 851,416.31

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Solution

The third proportional to 550,987.31 and 851,416.31 is: 1,315,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,987.31 : 851,416.31 = 851,416.31 : x
  2. Step 2: Convert to fraction form
    550,987.31/851,416.31 = 851,416.31/x
  3. Step 3: Cross multiply
    550,987.31x = 851,416.31 × 851,416.31
  4. Step 4: Simplify right side
    550,987.31x = 724,909,737,191.10
  5. Step 5: Solve for x
    x = 724,909,737,191.10/550,987.31
  6. Step 6: Final answer
    x = 1,315,655.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.