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Finding the Third Proportional to 67,637 and 90,733

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Solution

The third proportional to 67,637 and 90,733 is: 121,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,637 : 90,733 = 90,733 : x
  2. Step 2: Convert to fraction form
    67,637/90,733 = 90,733/x
  3. Step 3: Cross multiply
    67,637x = 90,733 × 90,733
  4. Step 4: Simplify right side
    67,637x = 8,232,477,289
  5. Step 5: Solve for x
    x = 8,232,477,289/67,637
  6. Step 6: Final answer
    x = 121,715.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.