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Finding the Third Proportional to 98.51 and 207.07

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Solution

The third proportional to 98.51 and 207.07 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.51 : 207.07 = 207.07 : x
  2. Step 2: Convert to fraction form
    98.51/207.07 = 207.07/x
  3. Step 3: Cross multiply
    98.51x = 207.07 × 207.07
  4. Step 4: Simplify right side
    98.51x = 42,878.11
  5. Step 5: Solve for x
    x = 42,878.11/98.51
  6. Step 6: Final answer
    x = 435.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.