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Finding the Third Proportional to 90,410 and 136,275

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Solution

The third proportional to 90,410 and 136,275 is: 205,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,410 : 136,275 = 136,275 : x
  2. Step 2: Convert to fraction form
    90,410/136,275 = 136,275/x
  3. Step 3: Cross multiply
    90,410x = 136,275 × 136,275
  4. Step 4: Simplify right side
    90,410x = 18,570,875,625
  5. Step 5: Solve for x
    x = 18,570,875,625/90,410
  6. Step 6: Final answer
    x = 205,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.