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Finding the Third Proportional to 840,600 and 1,257,930

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Solution

The third proportional to 840,600 and 1,257,930 is: 1,882,450.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,600 : 1,257,930 = 1,257,930 : x
  2. Step 2: Convert to fraction form
    840,600/1,257,930 = 1,257,930/x
  3. Step 3: Cross multiply
    840,600x = 1,257,930 × 1,257,930
  4. Step 4: Simplify right side
    840,600x = 1,582,387,884,900
  5. Step 5: Solve for x
    x = 1,582,387,884,900/840,600
  6. Step 6: Final answer
    x = 1,882,450.49

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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.