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Finding the Third Proportional to 128,277.75 and 296,931

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Solution

The third proportional to 128,277.75 and 296,931 is: 687,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,277.75 : 296,931 = 296,931 : x
  2. Step 2: Convert to fraction form
    128,277.75/296,931 = 296,931/x
  3. Step 3: Cross multiply
    128,277.75x = 296,931 × 296,931
  4. Step 4: Simplify right side
    128,277.75x = 88,168,018,761
  5. Step 5: Solve for x
    x = 88,168,018,761/128,277.75
  6. Step 6: Final answer
    x = 687,321.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.