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Finding the Third Proportional to 121,679 and 181,507

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Solution

The third proportional to 121,679 and 181,507 is: 270,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,679 : 181,507 = 181,507 : x
  2. Step 2: Convert to fraction form
    121,679/181,507 = 181,507/x
  3. Step 3: Cross multiply
    121,679x = 181,507 × 181,507
  4. Step 4: Simplify right side
    121,679x = 32,944,791,049
  5. Step 5: Solve for x
    x = 32,944,791,049/121,679
  6. Step 6: Final answer
    x = 270,751.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.