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Finding the Third Proportional to 286,650 and 613,474

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Solution

The third proportional to 286,650 and 613,474 is: 1,312,926.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,650 : 613,474 = 613,474 : x
  2. Step 2: Convert to fraction form
    286,650/613,474 = 613,474/x
  3. Step 3: Cross multiply
    286,650x = 613,474 × 613,474
  4. Step 4: Simplify right side
    286,650x = 376,350,348,676
  5. Step 5: Solve for x
    x = 376,350,348,676/286,650
  6. Step 6: Final answer
    x = 1,312,926.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.