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Finding the Third Proportional to 211,480 and 308,779

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Solution

The third proportional to 211,480 and 308,779 is: 450,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,480 : 308,779 = 308,779 : x
  2. Step 2: Convert to fraction form
    211,480/308,779 = 308,779/x
  3. Step 3: Cross multiply
    211,480x = 308,779 × 308,779
  4. Step 4: Simplify right side
    211,480x = 95,344,470,841
  5. Step 5: Solve for x
    x = 95,344,470,841/211,480
  6. Step 6: Final answer
    x = 450,843.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.