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Finding the Third Proportional to 840,460 and 1,257,720

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Solution

The third proportional to 840,460 and 1,257,720 is: 1,882,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,460 : 1,257,720 = 1,257,720 : x
  2. Step 2: Convert to fraction form
    840,460/1,257,720 = 1,257,720/x
  3. Step 3: Cross multiply
    840,460x = 1,257,720 × 1,257,720
  4. Step 4: Simplify right side
    840,460x = 1,581,859,598,400
  5. Step 5: Solve for x
    x = 1,581,859,598,400/840,460
  6. Step 6: Final answer
    x = 1,882,135.50

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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.