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Finding the Third Proportional to 78,148 and 122,502

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Solution

The third proportional to 78,148 and 122,502 is: 192,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,148 : 122,502 = 122,502 : x
  2. Step 2: Convert to fraction form
    78,148/122,502 = 122,502/x
  3. Step 3: Cross multiply
    78,148x = 122,502 × 122,502
  4. Step 4: Simplify right side
    78,148x = 15,006,740,004
  5. Step 5: Solve for x
    x = 15,006,740,004/78,148
  6. Step 6: Final answer
    x = 192,029.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.