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Finding the Third Proportional to 319,394 and 698,404

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Solution

The third proportional to 319,394 and 698,404 is: 1,527,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,394 : 698,404 = 698,404 : x
  2. Step 2: Convert to fraction form
    319,394/698,404 = 698,404/x
  3. Step 3: Cross multiply
    319,394x = 698,404 × 698,404
  4. Step 4: Simplify right side
    319,394x = 487,768,147,216
  5. Step 5: Solve for x
    x = 487,768,147,216/319,394
  6. Step 6: Final answer
    x = 1,527,167.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.