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Finding the Third Proportional to 376,806 and 565,215

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Solution

The third proportional to 376,806 and 565,215 is: 847,831.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,806 : 565,215 = 565,215 : x
  2. Step 2: Convert to fraction form
    376,806/565,215 = 565,215/x
  3. Step 3: Cross multiply
    376,806x = 565,215 × 565,215
  4. Step 4: Simplify right side
    376,806x = 319,467,996,225
  5. Step 5: Solve for x
    x = 319,467,996,225/376,806
  6. Step 6: Final answer
    x = 847,831.50

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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.