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Finding the Third Proportional to 326,984 and 698,320

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Solution

The third proportional to 326,984 and 698,320 is: 1,491,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,984 : 698,320 = 698,320 : x
  2. Step 2: Convert to fraction form
    326,984/698,320 = 698,320/x
  3. Step 3: Cross multiply
    326,984x = 698,320 × 698,320
  4. Step 4: Simplify right side
    326,984x = 487,650,822,400
  5. Step 5: Solve for x
    x = 487,650,822,400/326,984
  6. Step 6: Final answer
    x = 1,491,359.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.