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Finding the Third Proportional to 243,816 and 323,518

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Solution

The third proportional to 243,816 and 323,518 is: 429,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,816 : 323,518 = 323,518 : x
  2. Step 2: Convert to fraction form
    243,816/323,518 = 323,518/x
  3. Step 3: Cross multiply
    243,816x = 323,518 × 323,518
  4. Step 4: Simplify right side
    243,816x = 104,663,896,324
  5. Step 5: Solve for x
    x = 104,663,896,324/243,816
  6. Step 6: Final answer
    x = 429,274.11

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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.