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Finding the Third Proportional to 321,492 and 698,346

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Solution

The third proportional to 321,492 and 698,346 is: 1,516,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,492 : 698,346 = 698,346 : x
  2. Step 2: Convert to fraction form
    321,492/698,346 = 698,346/x
  3. Step 3: Cross multiply
    321,492x = 698,346 × 698,346
  4. Step 4: Simplify right side
    321,492x = 487,687,135,716
  5. Step 5: Solve for x
    x = 487,687,135,716/321,492
  6. Step 6: Final answer
    x = 1,516,949.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.