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Finding the Third Proportional to 857,158 and 1,281,531

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Solution

The third proportional to 857,158 and 1,281,531 is: 1,916,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,158 : 1,281,531 = 1,281,531 : x
  2. Step 2: Convert to fraction form
    857,158/1,281,531 = 1,281,531/x
  3. Step 3: Cross multiply
    857,158x = 1,281,531 × 1,281,531
  4. Step 4: Simplify right side
    857,158x = 1,642,321,703,961
  5. Step 5: Solve for x
    x = 1,642,321,703,961/857,158
  6. Step 6: Final answer
    x = 1,916,008.14

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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.