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Finding the Third Proportional to 323,628 and 502,482

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Solution

The third proportional to 323,628 and 502,482 is: 780,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,628 : 502,482 = 502,482 : x
  2. Step 2: Convert to fraction form
    323,628/502,482 = 502,482/x
  3. Step 3: Cross multiply
    323,628x = 502,482 × 502,482
  4. Step 4: Simplify right side
    323,628x = 252,488,160,324
  5. Step 5: Solve for x
    x = 252,488,160,324/323,628
  6. Step 6: Final answer
    x = 780,180.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.