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Finding the Third Proportional to 157,167 and 321,597

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Solution

The third proportional to 157,167 and 321,597 is: 658,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,167 : 321,597 = 321,597 : x
  2. Step 2: Convert to fraction form
    157,167/321,597 = 321,597/x
  3. Step 3: Cross multiply
    157,167x = 321,597 × 321,597
  4. Step 4: Simplify right side
    157,167x = 103,424,630,409
  5. Step 5: Solve for x
    x = 103,424,630,409/157,167
  6. Step 6: Final answer
    x = 658,055.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.