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Finding the Third Proportional to 147,936 and 240,345

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Solution

The third proportional to 147,936 and 240,345 is: 390,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,936 : 240,345 = 240,345 : x
  2. Step 2: Convert to fraction form
    147,936/240,345 = 240,345/x
  3. Step 3: Cross multiply
    147,936x = 240,345 × 240,345
  4. Step 4: Simplify right side
    147,936x = 57,765,719,025
  5. Step 5: Solve for x
    x = 57,765,719,025/147,936
  6. Step 6: Final answer
    x = 390,477.77

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.