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Finding the Third Proportional to 320,882 and 493,263

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Solution

The third proportional to 320,882 and 493,263 is: 758,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,882 : 493,263 = 493,263 : x
  2. Step 2: Convert to fraction form
    320,882/493,263 = 493,263/x
  3. Step 3: Cross multiply
    320,882x = 493,263 × 493,263
  4. Step 4: Simplify right side
    320,882x = 243,308,387,169
  5. Step 5: Solve for x
    x = 243,308,387,169/320,882
  6. Step 6: Final answer
    x = 758,248.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.