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Finding the Third Proportional to 99,775 and 145,771

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Solution

The third proportional to 99,775 and 145,771 is: 212,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,775 : 145,771 = 145,771 : x
  2. Step 2: Convert to fraction form
    99,775/145,771 = 145,771/x
  3. Step 3: Cross multiply
    99,775x = 145,771 × 145,771
  4. Step 4: Simplify right side
    99,775x = 21,249,184,441
  5. Step 5: Solve for x
    x = 21,249,184,441/99,775
  6. Step 6: Final answer
    x = 212,971.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.