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Finding the Third Proportional to 322,542 and 512,416.50

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Solution

The third proportional to 322,542 and 512,416.50 is: 814,066.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,542 : 512,416.50 = 512,416.50 : x
  2. Step 2: Convert to fraction form
    322,542/512,416.50 = 512,416.50/x
  3. Step 3: Cross multiply
    322,542x = 512,416.50 × 512,416.50
  4. Step 4: Simplify right side
    322,542x = 262,570,669,472.25
  5. Step 5: Solve for x
    x = 262,570,669,472.25/322,542
  6. Step 6: Final answer
    x = 814,066.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.