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Finding the Third Proportional to 142,257 and 190,909.50

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Solution

The third proportional to 142,257 and 190,909.50 is: 256,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,257 : 190,909.50 = 190,909.50 : x
  2. Step 2: Convert to fraction form
    142,257/190,909.50 = 190,909.50/x
  3. Step 3: Cross multiply
    142,257x = 190,909.50 × 190,909.50
  4. Step 4: Simplify right side
    142,257x = 36,446,437,190.25
  5. Step 5: Solve for x
    x = 36,446,437,190.25/142,257
  6. Step 6: Final answer
    x = 256,201.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.