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Finding the Third Proportional to 77,148 and 117,018

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Solution

The third proportional to 77,148 and 117,018 is: 177,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148 : 117,018 = 117,018 : x
  2. Step 2: Convert to fraction form
    77,148/117,018 = 117,018/x
  3. Step 3: Cross multiply
    77,148x = 117,018 × 117,018
  4. Step 4: Simplify right side
    77,148x = 13,693,212,324
  5. Step 5: Solve for x
    x = 13,693,212,324/77,148
  6. Step 6: Final answer
    x = 177,492.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.