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Finding the Third Proportional to 62,321 and 87,447

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Solution

The third proportional to 62,321 and 87,447 is: 122,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,321 : 87,447 = 87,447 : x
  2. Step 2: Convert to fraction form
    62,321/87,447 = 87,447/x
  3. Step 3: Cross multiply
    62,321x = 87,447 × 87,447
  4. Step 4: Simplify right side
    62,321x = 7,646,977,809
  5. Step 5: Solve for x
    x = 7,646,977,809/62,321
  6. Step 6: Final answer
    x = 122,703.07

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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.