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Finding the Third Proportional to 98,728 and 208,472

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Solution

The third proportional to 98,728 and 208,472 is: 440,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,728 : 208,472 = 208,472 : x
  2. Step 2: Convert to fraction form
    98,728/208,472 = 208,472/x
  3. Step 3: Cross multiply
    98,728x = 208,472 × 208,472
  4. Step 4: Simplify right side
    98,728x = 43,460,574,784
  5. Step 5: Solve for x
    x = 43,460,574,784/98,728
  6. Step 6: Final answer
    x = 440,205.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.