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Finding the Third Proportional to 379,469 and 571,697

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Solution

The third proportional to 379,469 and 571,697 is: 861,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,469 : 571,697 = 571,697 : x
  2. Step 2: Convert to fraction form
    379,469/571,697 = 571,697/x
  3. Step 3: Cross multiply
    379,469x = 571,697 × 571,697
  4. Step 4: Simplify right side
    379,469x = 326,837,459,809
  5. Step 5: Solve for x
    x = 326,837,459,809/379,469
  6. Step 6: Final answer
    x = 861,302.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.