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Finding the Third Proportional to 218,056 and 477,584

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Solution

The third proportional to 218,056 and 477,584 is: 1,045,999.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,056 : 477,584 = 477,584 : x
  2. Step 2: Convert to fraction form
    218,056/477,584 = 477,584/x
  3. Step 3: Cross multiply
    218,056x = 477,584 × 477,584
  4. Step 4: Simplify right side
    218,056x = 228,086,477,056
  5. Step 5: Solve for x
    x = 228,086,477,056/218,056
  6. Step 6: Final answer
    x = 1,045,999.55

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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.