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Finding the Third Proportional to 247,379 and 370,421

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Solution

The third proportional to 247,379 and 370,421 is: 554,661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,379 : 370,421 = 370,421 : x
  2. Step 2: Convert to fraction form
    247,379/370,421 = 370,421/x
  3. Step 3: Cross multiply
    247,379x = 370,421 × 370,421
  4. Step 4: Simplify right side
    247,379x = 137,211,717,241
  5. Step 5: Solve for x
    x = 137,211,717,241/247,379
  6. Step 6: Final answer
    x = 554,661.94

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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.