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Finding the Third Proportional to 213,419 and 319,570

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Solution

The third proportional to 213,419 and 319,570 is: 478,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,419 : 319,570 = 319,570 : x
  2. Step 2: Convert to fraction form
    213,419/319,570 = 319,570/x
  3. Step 3: Cross multiply
    213,419x = 319,570 × 319,570
  4. Step 4: Simplify right side
    213,419x = 102,124,984,900
  5. Step 5: Solve for x
    x = 102,124,984,900/213,419
  6. Step 6: Final answer
    x = 478,518.71

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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.