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Finding the Third Proportional to 312,877.69 and 371,926.69

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Solution

The third proportional to 312,877.69 and 371,926.69 is: 442,119.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,877.69 : 371,926.69 = 371,926.69 : x
  2. Step 2: Convert to fraction form
    312,877.69/371,926.69 = 371,926.69/x
  3. Step 3: Cross multiply
    312,877.69x = 371,926.69 × 371,926.69
  4. Step 4: Simplify right side
    312,877.69x = 138,329,460,874.72
  5. Step 5: Solve for x
    x = 138,329,460,874.72/312,877.69
  6. Step 6: Final answer
    x = 442,119.93

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.