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Finding the Third Proportional to 77,406 and 119,632.50

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Solution

The third proportional to 77,406 and 119,632.50 is: 184,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,406 : 119,632.50 = 119,632.50 : x
  2. Step 2: Convert to fraction form
    77,406/119,632.50 = 119,632.50/x
  3. Step 3: Cross multiply
    77,406x = 119,632.50 × 119,632.50
  4. Step 4: Simplify right side
    77,406x = 14,311,935,056.25
  5. Step 5: Solve for x
    x = 14,311,935,056.25/77,406
  6. Step 6: Final answer
    x = 184,894.39

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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.