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Finding the Third Proportional to 237,488 and 340,188

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Solution

The third proportional to 237,488 and 340,188 is: 487,299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,488 : 340,188 = 340,188 : x
  2. Step 2: Convert to fraction form
    237,488/340,188 = 340,188/x
  3. Step 3: Cross multiply
    237,488x = 340,188 × 340,188
  4. Step 4: Simplify right side
    237,488x = 115,727,875,344
  5. Step 5: Solve for x
    x = 115,727,875,344/237,488
  6. Step 6: Final answer
    x = 487,299.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.