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Finding the Third Proportional to 286,144.13 and 442,866.56

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Solution

The third proportional to 286,144.13 and 442,866.56 is: 685,426.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,144.13 : 442,866.56 = 442,866.56 : x
  2. Step 2: Convert to fraction form
    286,144.13/442,866.56 = 442,866.56/x
  3. Step 3: Cross multiply
    286,144.13x = 442,866.56 × 442,866.56
  4. Step 4: Simplify right side
    286,144.13x = 196,130,792,180.57
  5. Step 5: Solve for x
    x = 196,130,792,180.57/286,144.13
  6. Step 6: Final answer
    x = 685,426.59

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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.