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Finding the Third Proportional to 102,120.75 and 155,341.13

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Solution

The third proportional to 102,120.75 and 155,341.13 is: 236,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,120.75 : 155,341.13 = 155,341.13 : x
  2. Step 2: Convert to fraction form
    102,120.75/155,341.13 = 155,341.13/x
  3. Step 3: Cross multiply
    102,120.75x = 155,341.13 × 155,341.13
  4. Step 4: Simplify right side
    102,120.75x = 24,130,865,116.27
  5. Step 5: Solve for x
    x = 24,130,865,116.27/102,120.75
  6. Step 6: Final answer
    x = 236,297.37

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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.