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Finding the Third Proportional to 288,492.75 and 667,810.13

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Solution

The third proportional to 288,492.75 and 667,810.13 is: 1,545,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,492.75 : 667,810.13 = 667,810.13 : x
  2. Step 2: Convert to fraction form
    288,492.75/667,810.13 = 667,810.13/x
  3. Step 3: Cross multiply
    288,492.75x = 667,810.13 × 667,810.13
  4. Step 4: Simplify right side
    288,492.75x = 445,970,363,052.52
  5. Step 5: Solve for x
    x = 445,970,363,052.52/288,492.75
  6. Step 6: Final answer
    x = 1,545,863.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.