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Finding the Third Proportional to 97,870 and 211,779

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Solution

The third proportional to 97,870 and 211,779 is: 458,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,870 : 211,779 = 211,779 : x
  2. Step 2: Convert to fraction form
    97,870/211,779 = 211,779/x
  3. Step 3: Cross multiply
    97,870x = 211,779 × 211,779
  4. Step 4: Simplify right side
    97,870x = 44,850,344,841
  5. Step 5: Solve for x
    x = 44,850,344,841/97,870
  6. Step 6: Final answer
    x = 458,264.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.