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Finding the Third Proportional to 61,046 and 91,508

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Solution

The third proportional to 61,046 and 91,508 is: 137,170.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,046 : 91,508 = 91,508 : x
  2. Step 2: Convert to fraction form
    61,046/91,508 = 91,508/x
  3. Step 3: Cross multiply
    61,046x = 91,508 × 91,508
  4. Step 4: Simplify right side
    61,046x = 8,373,714,064
  5. Step 5: Solve for x
    x = 8,373,714,064/61,046
  6. Step 6: Final answer
    x = 137,170.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.