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Finding the Third Proportional to 154,340 and 317,896

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Solution

The third proportional to 154,340 and 317,896 is: 654,774.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,340 : 317,896 = 317,896 : x
  2. Step 2: Convert to fraction form
    154,340/317,896 = 317,896/x
  3. Step 3: Cross multiply
    154,340x = 317,896 × 317,896
  4. Step 4: Simplify right side
    154,340x = 101,057,866,816
  5. Step 5: Solve for x
    x = 101,057,866,816/154,340
  6. Step 6: Final answer
    x = 654,774.31

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.