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Finding the Third Proportional to 100,435.50 and 155,445.50

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Solution

The third proportional to 100,435.50 and 155,445.50 is: 240,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,435.50 : 155,445.50 = 155,445.50 : x
  2. Step 2: Convert to fraction form
    100,435.50/155,445.50 = 155,445.50/x
  3. Step 3: Cross multiply
    100,435.50x = 155,445.50 × 155,445.50
  4. Step 4: Simplify right side
    100,435.50x = 24,163,303,470.25
  5. Step 5: Solve for x
    x = 24,163,303,470.25/100,435.50
  6. Step 6: Final answer
    x = 240,585.29

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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.