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Finding the Third Proportional to 90,880 and 137,953

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Solution

The third proportional to 90,880 and 137,953 is: 209,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,880 : 137,953 = 137,953 : x
  2. Step 2: Convert to fraction form
    90,880/137,953 = 137,953/x
  3. Step 3: Cross multiply
    90,880x = 137,953 × 137,953
  4. Step 4: Simplify right side
    90,880x = 19,031,030,209
  5. Step 5: Solve for x
    x = 19,031,030,209/90,880
  6. Step 6: Final answer
    x = 209,408.34

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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.