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Finding the Third Proportional to 77,742 and 118,865

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Solution

The third proportional to 77,742 and 118,865 is: 181,740.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 118,865 = 118,865 : x
  2. Step 2: Convert to fraction form
    77,742/118,865 = 118,865/x
  3. Step 3: Cross multiply
    77,742x = 118,865 × 118,865
  4. Step 4: Simplify right side
    77,742x = 14,128,888,225
  5. Step 5: Solve for x
    x = 14,128,888,225/77,742
  6. Step 6: Final answer
    x = 181,740.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.