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Finding the Third Proportional to 77,484.50 and 119,733.50

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Solution

The third proportional to 77,484.50 and 119,733.50 is: 185,019.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484.50 : 119,733.50 = 119,733.50 : x
  2. Step 2: Convert to fraction form
    77,484.50/119,733.50 = 119,733.50/x
  3. Step 3: Cross multiply
    77,484.50x = 119,733.50 × 119,733.50
  4. Step 4: Simplify right side
    77,484.50x = 14,336,111,022.25
  5. Step 5: Solve for x
    x = 14,336,111,022.25/77,484.50
  6. Step 6: Final answer
    x = 185,019.08

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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.