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Finding the Third Proportional to 136,431 and 291,412

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Solution

The third proportional to 136,431 and 291,412 is: 622,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,431 : 291,412 = 291,412 : x
  2. Step 2: Convert to fraction form
    136,431/291,412 = 291,412/x
  3. Step 3: Cross multiply
    136,431x = 291,412 × 291,412
  4. Step 4: Simplify right side
    136,431x = 84,920,953,744
  5. Step 5: Solve for x
    x = 84,920,953,744/136,431
  6. Step 6: Final answer
    x = 622,446.17

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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.