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Finding the Third Proportional to 838,278 and 1,327,959

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Solution

The third proportional to 838,278 and 1,327,959 is: 2,103,687.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,278 : 1,327,959 = 1,327,959 : x
  2. Step 2: Convert to fraction form
    838,278/1,327,959 = 1,327,959/x
  3. Step 3: Cross multiply
    838,278x = 1,327,959 × 1,327,959
  4. Step 4: Simplify right side
    838,278x = 1,763,475,105,681
  5. Step 5: Solve for x
    x = 1,763,475,105,681/838,278
  6. Step 6: Final answer
    x = 2,103,687.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.