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Finding the Third Proportional to 77,076 and 122,078

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Solution

The third proportional to 77,076 and 122,078 is: 193,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,076 : 122,078 = 122,078 : x
  2. Step 2: Convert to fraction form
    77,076/122,078 = 122,078/x
  3. Step 3: Cross multiply
    77,076x = 122,078 × 122,078
  4. Step 4: Simplify right side
    77,076x = 14,903,038,084
  5. Step 5: Solve for x
    x = 14,903,038,084/77,076
  6. Step 6: Final answer
    x = 193,355.11

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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.