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Finding the Third Proportional to 121,068 and 186,706

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Solution

The third proportional to 121,068 and 186,706 is: 287,930.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,068 : 186,706 = 186,706 : x
  2. Step 2: Convert to fraction form
    121,068/186,706 = 186,706/x
  3. Step 3: Cross multiply
    121,068x = 186,706 × 186,706
  4. Step 4: Simplify right side
    121,068x = 34,859,130,436
  5. Step 5: Solve for x
    x = 34,859,130,436/121,068
  6. Step 6: Final answer
    x = 287,930.18

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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.