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Finding the Third Proportional to 120,315.38 and 261,862.88

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Solution

The third proportional to 120,315.38 and 261,862.88 is: 569,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,315.38 : 261,862.88 = 261,862.88 : x
  2. Step 2: Convert to fraction form
    120,315.38/261,862.88 = 261,862.88/x
  3. Step 3: Cross multiply
    120,315.38x = 261,862.88 × 261,862.88
  4. Step 4: Simplify right side
    120,315.38x = 68,572,165,303.27
  5. Step 5: Solve for x
    x = 68,572,165,303.27/120,315.38
  6. Step 6: Final answer
    x = 569,936.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.