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Finding the Third Proportional to 99,738 and 145,749

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Solution

The third proportional to 99,738 and 145,749 is: 212,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,738 : 145,749 = 145,749 : x
  2. Step 2: Convert to fraction form
    99,738/145,749 = 145,749/x
  3. Step 3: Cross multiply
    99,738x = 145,749 × 145,749
  4. Step 4: Simplify right side
    99,738x = 21,242,771,001
  5. Step 5: Solve for x
    x = 21,242,771,001/99,738
  6. Step 6: Final answer
    x = 212,985.73

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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.