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Finding the Third Proportional to 277,882.50 and 430,552.50

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Solution

The third proportional to 277,882.50 and 430,552.50 is: 667,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,882.50 : 430,552.50 = 430,552.50 : x
  2. Step 2: Convert to fraction form
    277,882.50/430,552.50 = 430,552.50/x
  3. Step 3: Cross multiply
    277,882.50x = 430,552.50 × 430,552.50
  4. Step 4: Simplify right side
    277,882.50x = 185,375,455,256.25
  5. Step 5: Solve for x
    x = 185,375,455,256.25/277,882.50
  6. Step 6: Final answer
    x = 667,100.14

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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.