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Finding the Third Proportional to 128,911.50 and 189,415.13

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Solution

The third proportional to 128,911.50 and 189,415.13 is: 278,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,911.50 : 189,415.13 = 189,415.13 : x
  2. Step 2: Convert to fraction form
    128,911.50/189,415.13 = 189,415.13/x
  3. Step 3: Cross multiply
    128,911.50x = 189,415.13 × 189,415.13
  4. Step 4: Simplify right side
    128,911.50x = 35,878,089,578.77
  5. Step 5: Solve for x
    x = 35,878,089,578.77/128,911.50
  6. Step 6: Final answer
    x = 278,315.66

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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.