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Finding the Third Proportional to 78,276 and 119,106

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Solution

The third proportional to 78,276 and 119,106 is: 181,233.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,276 : 119,106 = 119,106 : x
  2. Step 2: Convert to fraction form
    78,276/119,106 = 119,106/x
  3. Step 3: Cross multiply
    78,276x = 119,106 × 119,106
  4. Step 4: Simplify right side
    78,276x = 14,186,239,236
  5. Step 5: Solve for x
    x = 14,186,239,236/78,276
  6. Step 6: Final answer
    x = 181,233.57

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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.