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Finding the Third Proportional to 99,777 and 145,774

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Solution

The third proportional to 99,777 and 145,774 is: 212,975.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,777 : 145,774 = 145,774 : x
  2. Step 2: Convert to fraction form
    99,777/145,774 = 145,774/x
  3. Step 3: Cross multiply
    99,777x = 145,774 × 145,774
  4. Step 4: Simplify right side
    99,777x = 21,250,059,076
  5. Step 5: Solve for x
    x = 21,250,059,076/99,777
  6. Step 6: Final answer
    x = 212,975.53

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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.