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Finding the Third Proportional to 386,142.19 and 557,069.91

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Solution

The third proportional to 386,142.19 and 557,069.91 is: 803,659.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,142.19 : 557,069.91 = 557,069.91 : x
  2. Step 2: Convert to fraction form
    386,142.19/557,069.91 = 557,069.91/x
  3. Step 3: Cross multiply
    386,142.19x = 557,069.91 × 557,069.91
  4. Step 4: Simplify right side
    386,142.19x = 310,326,880,449.38
  5. Step 5: Solve for x
    x = 310,326,880,449.38/386,142.19
  6. Step 6: Final answer
    x = 803,659.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.