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Finding the Third Proportional to 574,657.03 and 861,985.55

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Solution

The third proportional to 574,657.03 and 861,985.55 is: 1,292,978.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,657.03 : 861,985.55 = 861,985.55 : x
  2. Step 2: Convert to fraction form
    574,657.03/861,985.55 = 861,985.55/x
  3. Step 3: Cross multiply
    574,657.03x = 861,985.55 × 861,985.55
  4. Step 4: Simplify right side
    574,657.03x = 743,019,083,021.39
  5. Step 5: Solve for x
    x = 743,019,083,021.39/574,657.03
  6. Step 6: Final answer
    x = 1,292,978.32

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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.