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Finding the Third Proportional to 171,372 and 358,260

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Solution

The third proportional to 171,372 and 358,260 is: 748,956.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,372 : 358,260 = 358,260 : x
  2. Step 2: Convert to fraction form
    171,372/358,260 = 358,260/x
  3. Step 3: Cross multiply
    171,372x = 358,260 × 358,260
  4. Step 4: Simplify right side
    171,372x = 128,350,227,600
  5. Step 5: Solve for x
    x = 128,350,227,600/171,372
  6. Step 6: Final answer
    x = 748,956.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.