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Finding the Third Proportional to 128,384.16 and 187,822.13

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Solution

The third proportional to 128,384.16 and 187,822.13 is: 274,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,384.16 : 187,822.13 = 187,822.13 : x
  2. Step 2: Convert to fraction form
    128,384.16/187,822.13 = 187,822.13/x
  3. Step 3: Cross multiply
    128,384.16x = 187,822.13 × 187,822.13
  4. Step 4: Simplify right side
    128,384.16x = 35,277,150,639.52
  5. Step 5: Solve for x
    x = 35,277,150,639.52/128,384.16
  6. Step 6: Final answer
    x = 274,778.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.