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Finding the Third Proportional to 102,120.75 and 158,486.63

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Solution

The third proportional to 102,120.75 and 158,486.63 is: 245,963.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 158,486.63 = 158,486.63 : x
  2. Step 2: Convert to fraction form
    102,120.75/158,486.63 = 158,486.63/x
  3. Step 3: Cross multiply
    102,120.75x = 158,486.63 × 158,486.63
  4. Step 4: Simplify right side
    102,120.75x = 25,118,010,303.89
  5. Step 5: Solve for x
    x = 25,118,010,303.89/102,120.75
  6. Step 6: Final answer
    x = 245,963.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.