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Finding the Third Proportional to 100,419.75 and 142,762.50

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Solution

The third proportional to 100,419.75 and 142,762.50 is: 202,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,419.75 : 142,762.50 = 142,762.50 : x
  2. Step 2: Convert to fraction form
    100,419.75/142,762.50 = 142,762.50/x
  3. Step 3: Cross multiply
    100,419.75x = 142,762.50 × 142,762.50
  4. Step 4: Simplify right side
    100,419.75x = 20,381,131,406.25
  5. Step 5: Solve for x
    x = 20,381,131,406.25/100,419.75
  6. Step 6: Final answer
    x = 202,959.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.