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Finding the Third Proportional to 320,469 and 502,702

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Solution

The third proportional to 320,469 and 502,702 is: 788,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,469 : 502,702 = 502,702 : x
  2. Step 2: Convert to fraction form
    320,469/502,702 = 502,702/x
  3. Step 3: Cross multiply
    320,469x = 502,702 × 502,702
  4. Step 4: Simplify right side
    320,469x = 252,709,300,804
  5. Step 5: Solve for x
    x = 252,709,300,804/320,469
  6. Step 6: Final answer
    x = 788,560.83

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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.