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Finding the Third Proportional to 145,399 and 317,801

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Solution

The third proportional to 145,399 and 317,801 is: 694,622.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,399 : 317,801 = 317,801 : x
  2. Step 2: Convert to fraction form
    145,399/317,801 = 317,801/x
  3. Step 3: Cross multiply
    145,399x = 317,801 × 317,801
  4. Step 4: Simplify right side
    145,399x = 100,997,475,601
  5. Step 5: Solve for x
    x = 100,997,475,601/145,399
  6. Step 6: Final answer
    x = 694,622.90

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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.