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Finding the Third Proportional to 88,908 and 137,574

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Solution

The third proportional to 88,908 and 137,574 is: 212,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,908 : 137,574 = 137,574 : x
  2. Step 2: Convert to fraction form
    88,908/137,574 = 137,574/x
  3. Step 3: Cross multiply
    88,908x = 137,574 × 137,574
  4. Step 4: Simplify right side
    88,908x = 18,926,605,476
  5. Step 5: Solve for x
    x = 18,926,605,476/88,908
  6. Step 6: Final answer
    x = 212,878.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.