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Finding the Third Proportional to 145,416 and 317,836

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Solution

The third proportional to 145,416 and 317,836 is: 694,694.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,416 : 317,836 = 317,836 : x
  2. Step 2: Convert to fraction form
    145,416/317,836 = 317,836/x
  3. Step 3: Cross multiply
    145,416x = 317,836 × 317,836
  4. Step 4: Simplify right side
    145,416x = 101,019,722,896
  5. Step 5: Solve for x
    x = 101,019,722,896/145,416
  6. Step 6: Final answer
    x = 694,694.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.