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Finding the Third Proportional to 126,319 and 190,787

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Solution

The third proportional to 126,319 and 190,787 is: 288,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,319 : 190,787 = 190,787 : x
  2. Step 2: Convert to fraction form
    126,319/190,787 = 190,787/x
  3. Step 3: Cross multiply
    126,319x = 190,787 × 190,787
  4. Step 4: Simplify right side
    126,319x = 36,399,679,369
  5. Step 5: Solve for x
    x = 36,399,679,369/126,319
  6. Step 6: Final answer
    x = 288,156.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.