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Finding the Third Proportional to 190,521.88 and 280,519.13

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Solution

The third proportional to 190,521.88 and 280,519.13 is: 413,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,521.88 : 280,519.13 = 280,519.13 : x
  2. Step 2: Convert to fraction form
    190,521.88/280,519.13 = 280,519.13/x
  3. Step 3: Cross multiply
    190,521.88x = 280,519.13 × 280,519.13
  4. Step 4: Simplify right side
    190,521.88x = 78,690,979,490.77
  5. Step 5: Solve for x
    x = 78,690,979,490.77/190,521.88
  6. Step 6: Final answer
    x = 413,028.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.