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Finding the Third Proportional to 128,999.50 and 189,707.50

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Solution

The third proportional to 128,999.50 and 189,707.50 is: 278,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,999.50 : 189,707.50 = 189,707.50 : x
  2. Step 2: Convert to fraction form
    128,999.50/189,707.50 = 189,707.50/x
  3. Step 3: Cross multiply
    128,999.50x = 189,707.50 × 189,707.50
  4. Step 4: Simplify right side
    128,999.50x = 35,988,935,556.25
  5. Step 5: Solve for x
    x = 35,988,935,556.25/128,999.50
  6. Step 6: Final answer
    x = 278,985.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.