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Finding the Third Proportional to 78,924 and 119,205

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Solution

The third proportional to 78,924 and 119,205 is: 180,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,924 : 119,205 = 119,205 : x
  2. Step 2: Convert to fraction form
    78,924/119,205 = 119,205/x
  3. Step 3: Cross multiply
    78,924x = 119,205 × 119,205
  4. Step 4: Simplify right side
    78,924x = 14,209,832,025
  5. Step 5: Solve for x
    x = 14,209,832,025/78,924
  6. Step 6: Final answer
    x = 180,044.50

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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.