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Finding the Third Proportional to 53,459 and 85,899

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Solution

The third proportional to 53,459 and 85,899 is: 138,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,459 : 85,899 = 85,899 : x
  2. Step 2: Convert to fraction form
    53,459/85,899 = 85,899/x
  3. Step 3: Cross multiply
    53,459x = 85,899 × 85,899
  4. Step 4: Simplify right side
    53,459x = 7,378,638,201
  5. Step 5: Solve for x
    x = 7,378,638,201/53,459
  6. Step 6: Final answer
    x = 138,024.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.