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Finding the Third Proportional to 218,307 and 469,813

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Solution

The third proportional to 218,307 and 469,813 is: 1,011,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,307 : 469,813 = 469,813 : x
  2. Step 2: Convert to fraction form
    218,307/469,813 = 469,813/x
  3. Step 3: Cross multiply
    218,307x = 469,813 × 469,813
  4. Step 4: Simplify right side
    218,307x = 220,724,254,969
  5. Step 5: Solve for x
    x = 220,724,254,969/218,307
  6. Step 6: Final answer
    x = 1,011,072.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.