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Finding the Third Proportional to 77,426 and 117,208

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Solution

The third proportional to 77,426 and 117,208 is: 177,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,426 : 117,208 = 117,208 : x
  2. Step 2: Convert to fraction form
    77,426/117,208 = 117,208/x
  3. Step 3: Cross multiply
    77,426x = 117,208 × 117,208
  4. Step 4: Simplify right side
    77,426x = 13,737,715,264
  5. Step 5: Solve for x
    x = 13,737,715,264/77,426
  6. Step 6: Final answer
    x = 177,430.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.