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Finding the Third Proportional to 857,730 and 1,261,644

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Solution

The third proportional to 857,730 and 1,261,644 is: 1,855,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,730 : 1,261,644 = 1,261,644 : x
  2. Step 2: Convert to fraction form
    857,730/1,261,644 = 1,261,644/x
  3. Step 3: Cross multiply
    857,730x = 1,261,644 × 1,261,644
  4. Step 4: Simplify right side
    857,730x = 1,591,745,582,736
  5. Step 5: Solve for x
    x = 1,591,745,582,736/857,730
  6. Step 6: Final answer
    x = 1,855,765.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.