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Finding the Third Proportional to 815,753 and 1,146,720

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Solution

The third proportional to 815,753 and 1,146,720 is: 1,611,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,753 : 1,146,720 = 1,146,720 : x
  2. Step 2: Convert to fraction form
    815,753/1,146,720 = 1,146,720/x
  3. Step 3: Cross multiply
    815,753x = 1,146,720 × 1,146,720
  4. Step 4: Simplify right side
    815,753x = 1,314,966,758,400
  5. Step 5: Solve for x
    x = 1,314,966,758,400/815,753
  6. Step 6: Final answer
    x = 1,611,966.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.