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Finding the Third Proportional to 243,808.88 and 323,508.38

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Solution

The third proportional to 243,808.88 and 323,508.38 is: 429,261.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,808.88 : 323,508.38 = 323,508.38 : x
  2. Step 2: Convert to fraction form
    243,808.88/323,508.38 = 323,508.38/x
  3. Step 3: Cross multiply
    243,808.88x = 323,508.38 × 323,508.38
  4. Step 4: Simplify right side
    243,808.88x = 104,657,668,695.14
  5. Step 5: Solve for x
    x = 104,657,668,695.14/243,808.88
  6. Step 6: Final answer
    x = 429,261.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.