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Finding the Third Proportional to 398,023 and 840,971

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Solution

The third proportional to 398,023 and 840,971 is: 1,776,862.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,023 : 840,971 = 840,971 : x
  2. Step 2: Convert to fraction form
    398,023/840,971 = 840,971/x
  3. Step 3: Cross multiply
    398,023x = 840,971 × 840,971
  4. Step 4: Simplify right side
    398,023x = 707,232,222,841
  5. Step 5: Solve for x
    x = 707,232,222,841/398,023
  6. Step 6: Final answer
    x = 1,776,862.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.