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Finding the Third Proportional to 171,645 and 358,974

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Solution

The third proportional to 171,645 and 358,974 is: 750,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,645 : 358,974 = 358,974 : x
  2. Step 2: Convert to fraction form
    171,645/358,974 = 358,974/x
  3. Step 3: Cross multiply
    171,645x = 358,974 × 358,974
  4. Step 4: Simplify right side
    171,645x = 128,862,332,676
  5. Step 5: Solve for x
    x = 128,862,332,676/171,645
  6. Step 6: Final answer
    x = 750,749.12

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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.