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Finding the Third Proportional to 506,561 and 770,285

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Solution

The third proportional to 506,561 and 770,285 is: 1,171,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,561 : 770,285 = 770,285 : x
  2. Step 2: Convert to fraction form
    506,561/770,285 = 770,285/x
  3. Step 3: Cross multiply
    506,561x = 770,285 × 770,285
  4. Step 4: Simplify right side
    506,561x = 593,338,981,225
  5. Step 5: Solve for x
    x = 593,338,981,225/506,561
  6. Step 6: Final answer
    x = 1,171,308.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.