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Finding the Third Proportional to 328,631.25 and 519,934.50

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Solution

The third proportional to 328,631.25 and 519,934.50 is: 822,599.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,631.25 : 519,934.50 = 519,934.50 : x
  2. Step 2: Convert to fraction form
    328,631.25/519,934.50 = 519,934.50/x
  3. Step 3: Cross multiply
    328,631.25x = 519,934.50 × 519,934.50
  4. Step 4: Simplify right side
    328,631.25x = 270,331,884,290.25
  5. Step 5: Solve for x
    x = 270,331,884,290.25/328,631.25
  6. Step 6: Final answer
    x = 822,599.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.