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Finding the Third Proportional to 90,312 and 137,268

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Solution

The third proportional to 90,312 and 137,268 is: 208,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,312 : 137,268 = 137,268 : x
  2. Step 2: Convert to fraction form
    90,312/137,268 = 137,268/x
  3. Step 3: Cross multiply
    90,312x = 137,268 × 137,268
  4. Step 4: Simplify right side
    90,312x = 18,842,503,824
  5. Step 5: Solve for x
    x = 18,842,503,824/90,312
  6. Step 6: Final answer
    x = 208,637.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.