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Finding the Third Proportional to 99,020 and 208,408

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Solution

The third proportional to 99,020 and 208,408 is: 438,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,020 : 208,408 = 208,408 : x
  2. Step 2: Convert to fraction form
    99,020/208,408 = 208,408/x
  3. Step 3: Cross multiply
    99,020x = 208,408 × 208,408
  4. Step 4: Simplify right side
    99,020x = 43,433,894,464
  5. Step 5: Solve for x
    x = 43,433,894,464/99,020
  6. Step 6: Final answer
    x = 438,637.59

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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.