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Finding the Third Proportional to 361,153.50 and 559,989

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Solution

The third proportional to 361,153.50 and 559,989 is: 868,294.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,153.50 : 559,989 = 559,989 : x
  2. Step 2: Convert to fraction form
    361,153.50/559,989 = 559,989/x
  3. Step 3: Cross multiply
    361,153.50x = 559,989 × 559,989
  4. Step 4: Simplify right side
    361,153.50x = 313,587,680,121
  5. Step 5: Solve for x
    x = 313,587,680,121/361,153.50
  6. Step 6: Final answer
    x = 868,294.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.