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Finding the Third Proportional to 77,421.75 and 113,144.25

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Solution

The third proportional to 77,421.75 and 113,144.25 is: 165,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,421.75 : 113,144.25 = 113,144.25 : x
  2. Step 2: Convert to fraction form
    77,421.75/113,144.25 = 113,144.25/x
  3. Step 3: Cross multiply
    77,421.75x = 113,144.25 × 113,144.25
  4. Step 4: Simplify right side
    77,421.75x = 12,801,621,308.06
  5. Step 5: Solve for x
    x = 12,801,621,308.06/77,421.75
  6. Step 6: Final answer
    x = 165,349.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.