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Finding the Third Proportional to 98,415 and 209,718

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Solution

The third proportional to 98,415 and 209,718 is: 446,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415 : 209,718 = 209,718 : x
  2. Step 2: Convert to fraction form
    98,415/209,718 = 209,718/x
  3. Step 3: Cross multiply
    98,415x = 209,718 × 209,718
  4. Step 4: Simplify right side
    98,415x = 43,981,639,524
  5. Step 5: Solve for x
    x = 43,981,639,524/98,415
  6. Step 6: Final answer
    x = 446,899.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.