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Finding the Third Proportional to 813,918 and 1,197,345

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Solution

The third proportional to 813,918 and 1,197,345 is: 1,761,399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,918 : 1,197,345 = 1,197,345 : x
  2. Step 2: Convert to fraction form
    813,918/1,197,345 = 1,197,345/x
  3. Step 3: Cross multiply
    813,918x = 1,197,345 × 1,197,345
  4. Step 4: Simplify right side
    813,918x = 1,433,635,049,025
  5. Step 5: Solve for x
    x = 1,433,635,049,025/813,918
  6. Step 6: Final answer
    x = 1,761,399.86

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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.