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Finding the Third Proportional to 138,641.63 and 283,840.88

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Solution

The third proportional to 138,641.63 and 283,840.88 is: 581,107.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,641.63 : 283,840.88 = 283,840.88 : x
  2. Step 2: Convert to fraction form
    138,641.63/283,840.88 = 283,840.88/x
  3. Step 3: Cross multiply
    138,641.63x = 283,840.88 × 283,840.88
  4. Step 4: Simplify right side
    138,641.63x = 80,565,642,320.77
  5. Step 5: Solve for x
    x = 80,565,642,320.77/138,641.63
  6. Step 6: Final answer
    x = 581,107.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.