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Finding the Third Proportional to 145,664 and 317,809

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Solution

The third proportional to 145,664 and 317,809 is: 693,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,664 : 317,809 = 317,809 : x
  2. Step 2: Convert to fraction form
    145,664/317,809 = 317,809/x
  3. Step 3: Cross multiply
    145,664x = 317,809 × 317,809
  4. Step 4: Simplify right side
    145,664x = 101,002,560,481
  5. Step 5: Solve for x
    x = 101,002,560,481/145,664
  6. Step 6: Final answer
    x = 693,394.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.