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Finding the Third Proportional to 121,072 and 186,712

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Solution

The third proportional to 121,072 and 186,712 is: 287,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,072 : 186,712 = 186,712 : x
  2. Step 2: Convert to fraction form
    121,072/186,712 = 186,712/x
  3. Step 3: Cross multiply
    121,072x = 186,712 × 186,712
  4. Step 4: Simplify right side
    121,072x = 34,861,370,944
  5. Step 5: Solve for x
    x = 34,861,370,944/121,072
  6. Step 6: Final answer
    x = 287,939.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.