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Finding the Third Proportional to 77,709 and 114,922.50

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Solution

The third proportional to 77,709 and 114,922.50 is: 169,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,709 : 114,922.50 = 114,922.50 : x
  2. Step 2: Convert to fraction form
    77,709/114,922.50 = 114,922.50/x
  3. Step 3: Cross multiply
    77,709x = 114,922.50 × 114,922.50
  4. Step 4: Simplify right side
    77,709x = 13,207,181,006.25
  5. Step 5: Solve for x
    x = 13,207,181,006.25/77,709
  6. Step 6: Final answer
    x = 169,956.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.