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Finding the Third Proportional to 200,376 and 319,518

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Solution

The third proportional to 200,376 and 319,518 is: 509,500.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,376 : 319,518 = 319,518 : x
  2. Step 2: Convert to fraction form
    200,376/319,518 = 319,518/x
  3. Step 3: Cross multiply
    200,376x = 319,518 × 319,518
  4. Step 4: Simplify right side
    200,376x = 102,091,752,324
  5. Step 5: Solve for x
    x = 102,091,752,324/200,376
  6. Step 6: Final answer
    x = 509,500.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.