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Finding the Third Proportional to 218,703 and 478,554

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Solution

The third proportional to 218,703 and 478,554 is: 1,047,145.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,703 : 478,554 = 478,554 : x
  2. Step 2: Convert to fraction form
    218,703/478,554 = 478,554/x
  3. Step 3: Cross multiply
    218,703x = 478,554 × 478,554
  4. Step 4: Simplify right side
    218,703x = 229,013,930,916
  5. Step 5: Solve for x
    x = 229,013,930,916/218,703
  6. Step 6: Final answer
    x = 1,047,145.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.