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Finding the Third Proportional to 121,988 and 176,178

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Solution

The third proportional to 121,988 and 176,178 is: 254,440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,988 : 176,178 = 176,178 : x
  2. Step 2: Convert to fraction form
    121,988/176,178 = 176,178/x
  3. Step 3: Cross multiply
    121,988x = 176,178 × 176,178
  4. Step 4: Simplify right side
    121,988x = 31,038,687,684
  5. Step 5: Solve for x
    x = 31,038,687,684/121,988
  6. Step 6: Final answer
    x = 254,440.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.