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Finding the Third Proportional to 138,011.25 and 208,328.25

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Solution

The third proportional to 138,011.25 and 208,328.25 is: 314,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,011.25 : 208,328.25 = 208,328.25 : x
  2. Step 2: Convert to fraction form
    138,011.25/208,328.25 = 208,328.25/x
  3. Step 3: Cross multiply
    138,011.25x = 208,328.25 × 208,328.25
  4. Step 4: Simplify right side
    138,011.25x = 43,400,659,748.06
  5. Step 5: Solve for x
    x = 43,400,659,748.06/138,011.25
  6. Step 6: Final answer
    x = 314,471.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.