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Finding the Third Proportional to 30,809 and 66,541

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Solution

The third proportional to 30,809 and 66,541 is: 143,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,809 : 66,541 = 66,541 : x
  2. Step 2: Convert to fraction form
    30,809/66,541 = 66,541/x
  3. Step 3: Cross multiply
    30,809x = 66,541 × 66,541
  4. Step 4: Simplify right side
    30,809x = 4,427,704,681
  5. Step 5: Solve for x
    x = 4,427,704,681/30,809
  6. Step 6: Final answer
    x = 143,714.65

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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.