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Finding the Third Proportional to 320,191 and 502,264

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Solution

The third proportional to 320,191 and 502,264 is: 787,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,191 : 502,264 = 502,264 : x
  2. Step 2: Convert to fraction form
    320,191/502,264 = 502,264/x
  3. Step 3: Cross multiply
    320,191x = 502,264 × 502,264
  4. Step 4: Simplify right side
    320,191x = 252,269,125,696
  5. Step 5: Solve for x
    x = 252,269,125,696/320,191
  6. Step 6: Final answer
    x = 787,870.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.