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Finding the Third Proportional to 145,422 and 313,758

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Solution

The third proportional to 145,422 and 313,758 is: 676,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422 : 313,758 = 313,758 : x
  2. Step 2: Convert to fraction form
    145,422/313,758 = 313,758/x
  3. Step 3: Cross multiply
    145,422x = 313,758 × 313,758
  4. Step 4: Simplify right side
    145,422x = 98,444,082,564
  5. Step 5: Solve for x
    x = 98,444,082,564/145,422
  6. Step 6: Final answer
    x = 676,954.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.