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Finding the Third Proportional to 64,821.75 and 105,847.13

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Solution

The third proportional to 64,821.75 and 105,847.13 is: 172,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821.75 : 105,847.13 = 105,847.13 : x
  2. Step 2: Convert to fraction form
    64,821.75/105,847.13 = 105,847.13/x
  3. Step 3: Cross multiply
    64,821.75x = 105,847.13 × 105,847.13
  4. Step 4: Simplify right side
    64,821.75x = 11,203,613,870.77
  5. Step 5: Solve for x
    x = 11,203,613,870.77/64,821.75
  6. Step 6: Final answer
    x = 172,837.26

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.