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Finding the Third Proportional to 66,541 and 145,421

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Solution

The third proportional to 66,541 and 145,421 is: 317,808.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,541 : 145,421 = 145,421 : x
  2. Step 2: Convert to fraction form
    66,541/145,421 = 145,421/x
  3. Step 3: Cross multiply
    66,541x = 145,421 × 145,421
  4. Step 4: Simplify right side
    66,541x = 21,147,267,241
  5. Step 5: Solve for x
    x = 21,147,267,241/66,541
  6. Step 6: Final answer
    x = 317,808.08

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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.