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Finding the Third Proportional to 217,854 and 477,702

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Solution

The third proportional to 217,854 and 477,702 is: 1,047,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,854 : 477,702 = 477,702 : x
  2. Step 2: Convert to fraction form
    217,854/477,702 = 477,702/x
  3. Step 3: Cross multiply
    217,854x = 477,702 × 477,702
  4. Step 4: Simplify right side
    217,854x = 228,199,200,804
  5. Step 5: Solve for x
    x = 228,199,200,804/217,854
  6. Step 6: Final answer
    x = 1,047,486.85

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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.