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Finding the Third Proportional to 77,412 and 119,640

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Solution

The third proportional to 77,412 and 119,640 is: 184,903.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,412 : 119,640 = 119,640 : x
  2. Step 2: Convert to fraction form
    77,412/119,640 = 119,640/x
  3. Step 3: Cross multiply
    77,412x = 119,640 × 119,640
  4. Step 4: Simplify right side
    77,412x = 14,313,729,600
  5. Step 5: Solve for x
    x = 14,313,729,600/77,412
  6. Step 6: Final answer
    x = 184,903.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.