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Finding the Third Proportional to 376,323 and 813,987

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Solution

The third proportional to 376,323 and 813,987 is: 1,760,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,323 : 813,987 = 813,987 : x
  2. Step 2: Convert to fraction form
    376,323/813,987 = 813,987/x
  3. Step 3: Cross multiply
    376,323x = 813,987 × 813,987
  4. Step 4: Simplify right side
    376,323x = 662,574,836,169
  5. Step 5: Solve for x
    x = 662,574,836,169/376,323
  6. Step 6: Final answer
    x = 1,760,654.64

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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.