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Finding the Third Proportional to 76,345.03 and 109,596.80

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Solution

The third proportional to 76,345.03 and 109,596.80 is: 157,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,345.03 : 109,596.80 = 109,596.80 : x
  2. Step 2: Convert to fraction form
    76,345.03/109,596.80 = 109,596.80/x
  3. Step 3: Cross multiply
    76,345.03x = 109,596.80 × 109,596.80
  4. Step 4: Simplify right side
    76,345.03x = 12,011,457,885.26
  5. Step 5: Solve for x
    x = 12,011,457,885.26/76,345.03
  6. Step 6: Final answer
    x = 157,331.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.