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Finding the Third Proportional to 238,078 and 382,787

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Solution

The third proportional to 238,078 and 382,787 is: 615,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,078 : 382,787 = 382,787 : x
  2. Step 2: Convert to fraction form
    238,078/382,787 = 382,787/x
  3. Step 3: Cross multiply
    238,078x = 382,787 × 382,787
  4. Step 4: Simplify right side
    238,078x = 146,525,887,369
  5. Step 5: Solve for x
    x = 146,525,887,369/238,078
  6. Step 6: Final answer
    x = 615,453.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.