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Finding the Third Proportional to 121,064 and 186,700

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Solution

The third proportional to 121,064 and 186,700 is: 287,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,064 : 186,700 = 186,700 : x
  2. Step 2: Convert to fraction form
    121,064/186,700 = 186,700/x
  3. Step 3: Cross multiply
    121,064x = 186,700 × 186,700
  4. Step 4: Simplify right side
    121,064x = 34,856,890,000
  5. Step 5: Solve for x
    x = 34,856,890,000/121,064
  6. Step 6: Final answer
    x = 287,921.18

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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.