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Finding the Third Proportional to 67,321 and 145,787

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Solution

The third proportional to 67,321 and 145,787 is: 315,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,321 : 145,787 = 145,787 : x
  2. Step 2: Convert to fraction form
    67,321/145,787 = 145,787/x
  3. Step 3: Cross multiply
    67,321x = 145,787 × 145,787
  4. Step 4: Simplify right side
    67,321x = 21,253,849,369
  5. Step 5: Solve for x
    x = 21,253,849,369/67,321
  6. Step 6: Final answer
    x = 315,709.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.