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Finding the Third Proportional to 280,192.88 and 437,785.13

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Solution

The third proportional to 280,192.88 and 437,785.13 is: 684,013.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,192.88 : 437,785.13 = 437,785.13 : x
  2. Step 2: Convert to fraction form
    280,192.88/437,785.13 = 437,785.13/x
  3. Step 3: Cross multiply
    280,192.88x = 437,785.13 × 437,785.13
  4. Step 4: Simplify right side
    280,192.88x = 191,655,815,671.27
  5. Step 5: Solve for x
    x = 191,655,815,671.27/280,192.88
  6. Step 6: Final answer
    x = 684,013.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.