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Finding the Third Proportional to 204,877.69 and 320,689.76

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Solution

The third proportional to 204,877.69 and 320,689.76 is: 501,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,877.69 : 320,689.76 = 320,689.76 : x
  2. Step 2: Convert to fraction form
    204,877.69/320,689.76 = 320,689.76/x
  3. Step 3: Cross multiply
    204,877.69x = 320,689.76 × 320,689.76
  4. Step 4: Simplify right side
    204,877.69x = 102,841,920,765.84
  5. Step 5: Solve for x
    x = 102,841,920,765.84/204,877.69
  6. Step 6: Final answer
    x = 501,967.40

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.