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Finding the Third Proportional to 128,048.63 and 187,921.13

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Solution

The third proportional to 128,048.63 and 187,921.13 is: 275,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,048.63 : 187,921.13 = 187,921.13 : x
  2. Step 2: Convert to fraction form
    128,048.63/187,921.13 = 187,921.13/x
  3. Step 3: Cross multiply
    128,048.63x = 187,921.13 × 187,921.13
  4. Step 4: Simplify right side
    128,048.63x = 35,314,349,221.27
  5. Step 5: Solve for x
    x = 35,314,349,221.27/128,048.63
  6. Step 6: Final answer
    x = 275,788.59

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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.