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Finding the Third Proportional to 212,176.97 and 288,330.89

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Solution

The third proportional to 212,176.97 and 288,330.89 is: 391,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,176.97 : 288,330.89 = 288,330.89 : x
  2. Step 2: Convert to fraction form
    212,176.97/288,330.89 = 288,330.89/x
  3. Step 3: Cross multiply
    212,176.97x = 288,330.89 × 288,330.89
  4. Step 4: Simplify right side
    212,176.97x = 83,134,702,488.61
  5. Step 5: Solve for x
    x = 83,134,702,488.61/212,176.97
  6. Step 6: Final answer
    x = 391,817.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.