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Finding the Third Proportional to 215,630 and 472,779

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Solution

The third proportional to 215,630 and 472,779 is: 1,036,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,630 : 472,779 = 472,779 : x
  2. Step 2: Convert to fraction form
    215,630/472,779 = 472,779/x
  3. Step 3: Cross multiply
    215,630x = 472,779 × 472,779
  4. Step 4: Simplify right side
    215,630x = 223,519,982,841
  5. Step 5: Solve for x
    x = 223,519,982,841/215,630
  6. Step 6: Final answer
    x = 1,036,590.38

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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.