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Finding the Third Proportional to 218,379 and 473,910

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Solution

The third proportional to 218,379 and 473,910 is: 1,028,444.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,379 : 473,910 = 473,910 : x
  2. Step 2: Convert to fraction form
    218,379/473,910 = 473,910/x
  3. Step 3: Cross multiply
    218,379x = 473,910 × 473,910
  4. Step 4: Simplify right side
    218,379x = 224,590,688,100
  5. Step 5: Solve for x
    x = 224,590,688,100/218,379
  6. Step 6: Final answer
    x = 1,028,444.53

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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.