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Finding the Third Proportional to 128,273.63 and 296,920.69

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Solution

The third proportional to 128,273.63 and 296,920.69 is: 687,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,273.63 : 296,920.69 = 296,920.69 : x
  2. Step 2: Convert to fraction form
    128,273.63/296,920.69 = 296,920.69/x
  3. Step 3: Cross multiply
    128,273.63x = 296,920.69 × 296,920.69
  4. Step 4: Simplify right side
    128,273.63x = 88,161,894,665.47
  5. Step 5: Solve for x
    x = 88,161,894,665.47/128,273.63
  6. Step 6: Final answer
    x = 687,295.57

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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.