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Finding the Third Proportional to 77,128 and 114,719

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Solution

The third proportional to 77,128 and 114,719 is: 170,631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,128 : 114,719 = 114,719 : x
  2. Step 2: Convert to fraction form
    77,128/114,719 = 114,719/x
  3. Step 3: Cross multiply
    77,128x = 114,719 × 114,719
  4. Step 4: Simplify right side
    77,128x = 13,160,448,961
  5. Step 5: Solve for x
    x = 13,160,448,961/77,128
  6. Step 6: Final answer
    x = 170,631.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.