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Finding the Third Proportional to 128,908.13 and 277,563.38

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Solution

The third proportional to 128,908.13 and 277,563.38 is: 597,646.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,908.13 : 277,563.38 = 277,563.38 : x
  2. Step 2: Convert to fraction form
    128,908.13/277,563.38 = 277,563.38/x
  3. Step 3: Cross multiply
    128,908.13x = 277,563.38 × 277,563.38
  4. Step 4: Simplify right side
    128,908.13x = 77,041,427,141.39
  5. Step 5: Solve for x
    x = 77,041,427,141.39/128,908.13
  6. Step 6: Final answer
    x = 597,646.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.