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Finding the Third Proportional to 215,000 and 333,587

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Solution

The third proportional to 215,000 and 333,587 is: 517,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,000 : 333,587 = 333,587 : x
  2. Step 2: Convert to fraction form
    215,000/333,587 = 333,587/x
  3. Step 3: Cross multiply
    215,000x = 333,587 × 333,587
  4. Step 4: Simplify right side
    215,000x = 111,280,286,569
  5. Step 5: Solve for x
    x = 111,280,286,569/215,000
  6. Step 6: Final answer
    x = 517,582.73

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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.