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Finding the Third Proportional to 77,689.50 and 119,970

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Solution

The third proportional to 77,689.50 and 119,970 is: 185,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,689.50 : 119,970 = 119,970 : x
  2. Step 2: Convert to fraction form
    77,689.50/119,970 = 119,970/x
  3. Step 3: Cross multiply
    77,689.50x = 119,970 × 119,970
  4. Step 4: Simplify right side
    77,689.50x = 14,392,800,900
  5. Step 5: Solve for x
    x = 14,392,800,900/77,689.50
  6. Step 6: Final answer
    x = 185,260.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.