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Finding the Third Proportional to 205,638.75 and 299,710.13

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Solution

The third proportional to 205,638.75 and 299,710.13 is: 436,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,638.75 : 299,710.13 = 299,710.13 : x
  2. Step 2: Convert to fraction form
    205,638.75/299,710.13 = 299,710.13/x
  3. Step 3: Cross multiply
    205,638.75x = 299,710.13 × 299,710.13
  4. Step 4: Simplify right side
    205,638.75x = 89,826,159,027.52
  5. Step 5: Solve for x
    x = 89,826,159,027.52/205,638.75
  6. Step 6: Final answer
    x = 436,815.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.