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Finding the Third Proportional to 127,688.91 and 200,326.92

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Solution

The third proportional to 127,688.91 and 200,326.92 is: 314,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,688.91 : 200,326.92 = 200,326.92 : x
  2. Step 2: Convert to fraction form
    127,688.91/200,326.92 = 200,326.92/x
  3. Step 3: Cross multiply
    127,688.91x = 200,326.92 × 200,326.92
  4. Step 4: Simplify right side
    127,688.91x = 40,130,875,627.91
  5. Step 5: Solve for x
    x = 40,130,875,627.91/127,688.91
  6. Step 6: Final answer
    x = 314,286.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.