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Finding the Third Proportional to 121,306 and 177,998

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Solution

The third proportional to 121,306 and 177,998 is: 261,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,306 : 177,998 = 177,998 : x
  2. Step 2: Convert to fraction form
    121,306/177,998 = 177,998/x
  3. Step 3: Cross multiply
    121,306x = 177,998 × 177,998
  4. Step 4: Simplify right side
    121,306x = 31,683,288,004
  5. Step 5: Solve for x
    x = 31,683,288,004/121,306
  6. Step 6: Final answer
    x = 261,184.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.