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Finding the Third Proportional to 391,984 and 831,070

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Solution

The third proportional to 391,984 and 831,070 is: 1,762,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,984 : 831,070 = 831,070 : x
  2. Step 2: Convert to fraction form
    391,984/831,070 = 831,070/x
  3. Step 3: Cross multiply
    391,984x = 831,070 × 831,070
  4. Step 4: Simplify right side
    391,984x = 690,677,344,900
  5. Step 5: Solve for x
    x = 690,677,344,900/391,984
  6. Step 6: Final answer
    x = 1,762,003.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.