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Finding the Third Proportional to 237,490 and 340,191

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Solution

The third proportional to 237,490 and 340,191 is: 487,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,490 : 340,191 = 340,191 : x
  2. Step 2: Convert to fraction form
    237,490/340,191 = 340,191/x
  3. Step 3: Cross multiply
    237,490x = 340,191 × 340,191
  4. Step 4: Simplify right side
    237,490x = 115,729,916,481
  5. Step 5: Solve for x
    x = 115,729,916,481/237,490
  6. Step 6: Final answer
    x = 487,304.38

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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.