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Finding the Third Proportional to 77,640 and 122,508

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Solution

The third proportional to 77,640 and 122,508 is: 193,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,640 : 122,508 = 122,508 : x
  2. Step 2: Convert to fraction form
    77,640/122,508 = 122,508/x
  3. Step 3: Cross multiply
    77,640x = 122,508 × 122,508
  4. Step 4: Simplify right side
    77,640x = 15,008,210,064
  5. Step 5: Solve for x
    x = 15,008,210,064/77,640
  6. Step 6: Final answer
    x = 193,305.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.