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Finding the Third Proportional to 812,432.53 and 1,258,014.80

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Solution

The third proportional to 812,432.53 and 1,258,014.80 is: 1,947,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,432.53 : 1,258,014.80 = 1,258,014.80 : x
  2. Step 2: Convert to fraction form
    812,432.53/1,258,014.80 = 1,258,014.80/x
  3. Step 3: Cross multiply
    812,432.53x = 1,258,014.80 × 1,258,014.80
  4. Step 4: Simplify right side
    812,432.53x = 1,582,601,229,156.45
  5. Step 5: Solve for x
    x = 1,582,601,229,156.45/812,432.53
  6. Step 6: Final answer
    x = 1,947,978.65

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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.