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Finding the Third Proportional to 77,918.63 and 118,518.19

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Solution

The third proportional to 77,918.63 and 118,518.19 is: 180,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,918.63 : 118,518.19 = 118,518.19 : x
  2. Step 2: Convert to fraction form
    77,918.63/118,518.19 = 118,518.19/x
  3. Step 3: Cross multiply
    77,918.63x = 118,518.19 × 118,518.19
  4. Step 4: Simplify right side
    77,918.63x = 14,046,560,768.29
  5. Step 5: Solve for x
    x = 14,046,560,768.29/77,918.63
  6. Step 6: Final answer
    x = 180,272.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.