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Finding the Third Proportional to 128,905.17 and 277,559.16

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Solution

The third proportional to 128,905.17 and 277,559.16 is: 597,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,905.17 : 277,559.16 = 277,559.16 : x
  2. Step 2: Convert to fraction form
    128,905.17/277,559.16 = 277,559.16/x
  3. Step 3: Cross multiply
    128,905.17x = 277,559.16 × 277,559.16
  4. Step 4: Simplify right side
    128,905.17x = 77,039,085,218.21
  5. Step 5: Solve for x
    x = 77,039,085,218.21/128,905.17
  6. Step 6: Final answer
    x = 597,641.54

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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.