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Finding the Third Proportional to 321,503.50 and 698,357

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Solution

The third proportional to 321,503.50 and 698,357 is: 1,516,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,503.50 : 698,357 = 698,357 : x
  2. Step 2: Convert to fraction form
    321,503.50/698,357 = 698,357/x
  3. Step 3: Cross multiply
    321,503.50x = 698,357 × 698,357
  4. Step 4: Simplify right side
    321,503.50x = 487,702,499,449
  5. Step 5: Solve for x
    x = 487,702,499,449/321,503.50
  6. Step 6: Final answer
    x = 1,516,943.05

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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.