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Finding the Third Proportional to 144,691 and 317,395

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Solution

The third proportional to 144,691 and 317,395 is: 696,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,691 : 317,395 = 317,395 : x
  2. Step 2: Convert to fraction form
    144,691/317,395 = 317,395/x
  3. Step 3: Cross multiply
    144,691x = 317,395 × 317,395
  4. Step 4: Simplify right side
    144,691x = 100,739,586,025
  5. Step 5: Solve for x
    x = 100,739,586,025/144,691
  6. Step 6: Final answer
    x = 696,239.48

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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.