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Finding the Third Proportional to 288,702 and 453,519

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Solution

The third proportional to 288,702 and 453,519 is: 712,428.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702 : 453,519 = 453,519 : x
  2. Step 2: Convert to fraction form
    288,702/453,519 = 453,519/x
  3. Step 3: Cross multiply
    288,702x = 453,519 × 453,519
  4. Step 4: Simplify right side
    288,702x = 205,679,483,361
  5. Step 5: Solve for x
    x = 205,679,483,361/288,702
  6. Step 6: Final answer
    x = 712,428.33

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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.