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Finding the Third Proportional to 218,670 and 473,610

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Solution

The third proportional to 218,670 and 473,610 is: 1,025,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,670 : 473,610 = 473,610 : x
  2. Step 2: Convert to fraction form
    218,670/473,610 = 473,610/x
  3. Step 3: Cross multiply
    218,670x = 473,610 × 473,610
  4. Step 4: Simplify right side
    218,670x = 224,306,432,100
  5. Step 5: Solve for x
    x = 224,306,432,100/218,670
  6. Step 6: Final answer
    x = 1,025,775.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.