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Finding the Third Proportional to 213,425 and 319,578

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Solution

The third proportional to 213,425 and 319,578 is: 478,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,425 : 319,578 = 319,578 : x
  2. Step 2: Convert to fraction form
    213,425/319,578 = 319,578/x
  3. Step 3: Cross multiply
    213,425x = 319,578 × 319,578
  4. Step 4: Simplify right side
    213,425x = 102,130,098,084
  5. Step 5: Solve for x
    x = 102,130,098,084/213,425
  6. Step 6: Final answer
    x = 478,529.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.