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Finding the Third Proportional to 135,049 and 312,643

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Solution

The third proportional to 135,049 and 312,643 is: 723,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,049 : 312,643 = 312,643 : x
  2. Step 2: Convert to fraction form
    135,049/312,643 = 312,643/x
  3. Step 3: Cross multiply
    135,049x = 312,643 × 312,643
  4. Step 4: Simplify right side
    135,049x = 97,745,645,449
  5. Step 5: Solve for x
    x = 97,745,645,449/135,049
  6. Step 6: Final answer
    x = 723,779.11

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.