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Finding the Third Proportional to 310,129.88 and 667,776.94

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Solution

The third proportional to 310,129.88 and 667,776.94 is: 1,437,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,129.88 : 667,776.94 = 667,776.94 : x
  2. Step 2: Convert to fraction form
    310,129.88/667,776.94 = 667,776.94/x
  3. Step 3: Cross multiply
    310,129.88x = 667,776.94 × 667,776.94
  4. Step 4: Simplify right side
    310,129.88x = 445,926,038,256.88
  5. Step 5: Solve for x
    x = 445,926,038,256.88/310,129.88
  6. Step 6: Final answer
    x = 1,437,868.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.