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Finding the Third Proportional to 39,798 and 87,507

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Solution

The third proportional to 39,798 and 87,507 is: 192,408.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,798 : 87,507 = 87,507 : x
  2. Step 2: Convert to fraction form
    39,798/87,507 = 87,507/x
  3. Step 3: Cross multiply
    39,798x = 87,507 × 87,507
  4. Step 4: Simplify right side
    39,798x = 7,657,475,049
  5. Step 5: Solve for x
    x = 7,657,475,049/39,798
  6. Step 6: Final answer
    x = 192,408.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.