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Finding the Third Proportional to 173,290 and 253,927

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Solution

The third proportional to 173,290 and 253,927 is: 372,086.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,290 : 253,927 = 253,927 : x
  2. Step 2: Convert to fraction form
    173,290/253,927 = 253,927/x
  3. Step 3: Cross multiply
    173,290x = 253,927 × 253,927
  4. Step 4: Simplify right side
    173,290x = 64,478,921,329
  5. Step 5: Solve for x
    x = 64,478,921,329/173,290
  6. Step 6: Final answer
    x = 372,086.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.