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Finding the Third Proportional to 60,610 and 132,236

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Solution

The third proportional to 60,610 and 132,236 is: 288,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,610 : 132,236 = 132,236 : x
  2. Step 2: Convert to fraction form
    60,610/132,236 = 132,236/x
  3. Step 3: Cross multiply
    60,610x = 132,236 × 132,236
  4. Step 4: Simplify right side
    60,610x = 17,486,359,696
  5. Step 5: Solve for x
    x = 17,486,359,696/60,610
  6. Step 6: Final answer
    x = 288,506.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.