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Finding the Third Proportional to 863,155.50 and 1,306,729

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Solution

The third proportional to 863,155.50 and 1,306,729 is: 1,978,253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,155.50 : 1,306,729 = 1,306,729 : x
  2. Step 2: Convert to fraction form
    863,155.50/1,306,729 = 1,306,729/x
  3. Step 3: Cross multiply
    863,155.50x = 1,306,729 × 1,306,729
  4. Step 4: Simplify right side
    863,155.50x = 1,707,540,679,441
  5. Step 5: Solve for x
    x = 1,707,540,679,441/863,155.50
  6. Step 6: Final answer
    x = 1,978,253.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.