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Finding the Third Proportional to 88,142 and 136,101

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Solution

The third proportional to 88,142 and 136,101 is: 210,155.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,142 : 136,101 = 136,101 : x
  2. Step 2: Convert to fraction form
    88,142/136,101 = 136,101/x
  3. Step 3: Cross multiply
    88,142x = 136,101 × 136,101
  4. Step 4: Simplify right side
    88,142x = 18,523,482,201
  5. Step 5: Solve for x
    x = 18,523,482,201/88,142
  6. Step 6: Final answer
    x = 210,155.00

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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.