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Finding the Third Proportional to 145,690 and 317,857

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Solution

The third proportional to 145,690 and 317,857 is: 693,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,690 : 317,857 = 317,857 : x
  2. Step 2: Convert to fraction form
    145,690/317,857 = 317,857/x
  3. Step 3: Cross multiply
    145,690x = 317,857 × 317,857
  4. Step 4: Simplify right side
    145,690x = 101,033,072,449
  5. Step 5: Solve for x
    x = 101,033,072,449/145,690
  6. Step 6: Final answer
    x = 693,479.80

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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.