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Finding the Third Proportional to 328,644 and 519,957

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Solution

The third proportional to 328,644 and 519,957 is: 822,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,644 : 519,957 = 519,957 : x
  2. Step 2: Convert to fraction form
    328,644/519,957 = 519,957/x
  3. Step 3: Cross multiply
    328,644x = 519,957 × 519,957
  4. Step 4: Simplify right side
    328,644x = 270,355,281,849
  5. Step 5: Solve for x
    x = 270,355,281,849/328,644
  6. Step 6: Final answer
    x = 822,638.73

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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.