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Finding the Third Proportional to 77,109.75 and 118,671.75

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Solution

The third proportional to 77,109.75 and 118,671.75 is: 182,635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,109.75 : 118,671.75 = 118,671.75 : x
  2. Step 2: Convert to fraction form
    77,109.75/118,671.75 = 118,671.75/x
  3. Step 3: Cross multiply
    77,109.75x = 118,671.75 × 118,671.75
  4. Step 4: Simplify right side
    77,109.75x = 14,082,984,248.06
  5. Step 5: Solve for x
    x = 14,082,984,248.06/77,109.75
  6. Step 6: Final answer
    x = 182,635.58

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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.