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Finding the Third Proportional to 532,098 and 826,132.50

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Solution

The third proportional to 532,098 and 826,132.50 is: 1,282,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,098 : 826,132.50 = 826,132.50 : x
  2. Step 2: Convert to fraction form
    532,098/826,132.50 = 826,132.50/x
  3. Step 3: Cross multiply
    532,098x = 826,132.50 × 826,132.50
  4. Step 4: Simplify right side
    532,098x = 682,494,907,556.25
  5. Step 5: Solve for x
    x = 682,494,907,556.25/532,098
  6. Step 6: Final answer
    x = 1,282,648.89

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