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Finding the Third Proportional to 291,340.13 and 635,637.38

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Solution

The third proportional to 291,340.13 and 635,637.38 is: 1,386,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,340.13 : 635,637.38 = 635,637.38 : x
  2. Step 2: Convert to fraction form
    291,340.13/635,637.38 = 635,637.38/x
  3. Step 3: Cross multiply
    291,340.13x = 635,637.38 × 635,637.38
  4. Step 4: Simplify right side
    291,340.13x = 404,034,872,496.89
  5. Step 5: Solve for x
    x = 404,034,872,496.89/291,340.13
  6. Step 6: Final answer
    x = 1,386,815.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.