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Finding the Third Proportional to 376,683 and 813,117

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Solution

The third proportional to 376,683 and 813,117 is: 1,755,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,683 : 813,117 = 813,117 : x
  2. Step 2: Convert to fraction form
    376,683/813,117 = 813,117/x
  3. Step 3: Cross multiply
    376,683x = 813,117 × 813,117
  4. Step 4: Simplify right side
    376,683x = 661,159,255,689
  5. Step 5: Solve for x
    x = 661,159,255,689/376,683
  6. Step 6: Final answer
    x = 1,755,213.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.