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Finding the Third Proportional to 138,126.04 and 207,703.06

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Solution

The third proportional to 138,126.04 and 207,703.06 is: 312,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,126.04 : 207,703.06 = 207,703.06 : x
  2. Step 2: Convert to fraction form
    138,126.04/207,703.06 = 207,703.06/x
  3. Step 3: Cross multiply
    138,126.04x = 207,703.06 × 207,703.06
  4. Step 4: Simplify right side
    138,126.04x = 43,140,562,577.55
  5. Step 5: Solve for x
    x = 43,140,562,577.55/138,126.04
  6. Step 6: Final answer
    x = 312,327.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.