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Finding the Third Proportional to 90,080 and 208,541

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Solution

The third proportional to 90,080 and 208,541 is: 482,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,080 : 208,541 = 208,541 : x
  2. Step 2: Convert to fraction form
    90,080/208,541 = 208,541/x
  3. Step 3: Cross multiply
    90,080x = 208,541 × 208,541
  4. Step 4: Simplify right side
    90,080x = 43,489,348,681
  5. Step 5: Solve for x
    x = 43,489,348,681/90,080
  6. Step 6: Final answer
    x = 482,785.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.