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Finding the Third Proportional to 99,698 and 142,201

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Solution

The third proportional to 99,698 and 142,201 is: 202,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,698 : 142,201 = 142,201 : x
  2. Step 2: Convert to fraction form
    99,698/142,201 = 142,201/x
  3. Step 3: Cross multiply
    99,698x = 142,201 × 142,201
  4. Step 4: Simplify right side
    99,698x = 20,221,124,401
  5. Step 5: Solve for x
    x = 20,221,124,401/99,698
  6. Step 6: Final answer
    x = 202,823.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.