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Finding the Third Proportional to 840,810 and 1,269,959

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Solution

The third proportional to 840,810 and 1,269,959 is: 1,918,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,810 : 1,269,959 = 1,269,959 : x
  2. Step 2: Convert to fraction form
    840,810/1,269,959 = 1,269,959/x
  3. Step 3: Cross multiply
    840,810x = 1,269,959 × 1,269,959
  4. Step 4: Simplify right side
    840,810x = 1,612,795,861,681
  5. Step 5: Solve for x
    x = 1,612,795,861,681/840,810
  6. Step 6: Final answer
    x = 1,918,145.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.