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Finding the Third Proportional to 77,613.75 and 117,028.50

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Solution

The third proportional to 77,613.75 and 117,028.50 is: 176,459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,613.75 : 117,028.50 = 117,028.50 : x
  2. Step 2: Convert to fraction form
    77,613.75/117,028.50 = 117,028.50/x
  3. Step 3: Cross multiply
    77,613.75x = 117,028.50 × 117,028.50
  4. Step 4: Simplify right side
    77,613.75x = 13,695,669,812.25
  5. Step 5: Solve for x
    x = 13,695,669,812.25/77,613.75
  6. Step 6: Final answer
    x = 176,459.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.