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Finding the Third Proportional to 78,078 and 124,143

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Solution

The third proportional to 78,078 and 124,143 is: 197,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,078 : 124,143 = 124,143 : x
  2. Step 2: Convert to fraction form
    78,078/124,143 = 124,143/x
  3. Step 3: Cross multiply
    78,078x = 124,143 × 124,143
  4. Step 4: Simplify right side
    78,078x = 15,411,484,449
  5. Step 5: Solve for x
    x = 15,411,484,449/78,078
  6. Step 6: Final answer
    x = 197,385.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.