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Finding the Third Proportional to 64,344 and 90,610

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Solution

The third proportional to 64,344 and 90,610 is: 127,598.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,344 : 90,610 = 90,610 : x
  2. Step 2: Convert to fraction form
    64,344/90,610 = 90,610/x
  3. Step 3: Cross multiply
    64,344x = 90,610 × 90,610
  4. Step 4: Simplify right side
    64,344x = 8,210,172,100
  5. Step 5: Solve for x
    x = 8,210,172,100/64,344
  6. Step 6: Final answer
    x = 127,598.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.