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Finding the Third Proportional to 149,396 and 312,643

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Solution

The third proportional to 149,396 and 312,643 is: 654,272.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,396 : 312,643 = 312,643 : x
  2. Step 2: Convert to fraction form
    149,396/312,643 = 312,643/x
  3. Step 3: Cross multiply
    149,396x = 312,643 × 312,643
  4. Step 4: Simplify right side
    149,396x = 97,745,645,449
  5. Step 5: Solve for x
    x = 97,745,645,449/149,396
  6. Step 6: Final answer
    x = 654,272.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.