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Finding the Third Proportional to 298,782 and 447,363

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Solution

The third proportional to 298,782 and 447,363 is: 669,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,782 : 447,363 = 447,363 : x
  2. Step 2: Convert to fraction form
    298,782/447,363 = 447,363/x
  3. Step 3: Cross multiply
    298,782x = 447,363 × 447,363
  4. Step 4: Simplify right side
    298,782x = 200,133,653,769
  5. Step 5: Solve for x
    x = 200,133,653,769/298,782
  6. Step 6: Final answer
    x = 669,831.70

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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.