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Finding the Third Proportional to 90,011 and 208,382

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Solution

The third proportional to 90,011 and 208,382 is: 482,419.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,011 : 208,382 = 208,382 : x
  2. Step 2: Convert to fraction form
    90,011/208,382 = 208,382/x
  3. Step 3: Cross multiply
    90,011x = 208,382 × 208,382
  4. Step 4: Simplify right side
    90,011x = 43,423,057,924
  5. Step 5: Solve for x
    x = 43,423,057,924/90,011
  6. Step 6: Final answer
    x = 482,419.46

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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.