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Finding the Third Proportional to 286,143.19 and 442,865.39

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Solution

The third proportional to 286,143.19 and 442,865.39 is: 685,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,143.19 : 442,865.39 = 442,865.39 : x
  2. Step 2: Convert to fraction form
    286,143.19/442,865.39 = 442,865.39/x
  3. Step 3: Cross multiply
    286,143.19x = 442,865.39 × 442,865.39
  4. Step 4: Simplify right side
    286,143.19x = 196,129,754,213.43
  5. Step 5: Solve for x
    x = 196,129,754,213.43/286,143.19
  6. Step 6: Final answer
    x = 685,425.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.