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Finding the Third Proportional to 99,442 and 139,035

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Solution

The third proportional to 99,442 and 139,035 is: 194,392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,442 : 139,035 = 139,035 : x
  2. Step 2: Convert to fraction form
    99,442/139,035 = 139,035/x
  3. Step 3: Cross multiply
    99,442x = 139,035 × 139,035
  4. Step 4: Simplify right side
    99,442x = 19,330,731,225
  5. Step 5: Solve for x
    x = 19,330,731,225/99,442
  6. Step 6: Final answer
    x = 194,392.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.