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Finding the Third Proportional to 321,553 and 698,462

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Solution

The third proportional to 321,553 and 698,462 is: 1,517,165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,553 : 698,462 = 698,462 : x
  2. Step 2: Convert to fraction form
    321,553/698,462 = 698,462/x
  3. Step 3: Cross multiply
    321,553x = 698,462 × 698,462
  4. Step 4: Simplify right side
    321,553x = 487,849,165,444
  5. Step 5: Solve for x
    x = 487,849,165,444/321,553
  6. Step 6: Final answer
    x = 1,517,165.65

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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.