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Finding the Third Proportional to 77,858 and 120,417

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Solution

The third proportional to 77,858 and 120,417 is: 186,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,858 : 120,417 = 120,417 : x
  2. Step 2: Convert to fraction form
    77,858/120,417 = 120,417/x
  3. Step 3: Cross multiply
    77,858x = 120,417 × 120,417
  4. Step 4: Simplify right side
    77,858x = 14,500,253,889
  5. Step 5: Solve for x
    x = 14,500,253,889/77,858
  6. Step 6: Final answer
    x = 186,239.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.