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Finding the Third Proportional to 145,158 and 313,670.25

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Solution

The third proportional to 145,158 and 313,670.25 is: 677,806.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,158 : 313,670.25 = 313,670.25 : x
  2. Step 2: Convert to fraction form
    145,158/313,670.25 = 313,670.25/x
  3. Step 3: Cross multiply
    145,158x = 313,670.25 × 313,670.25
  4. Step 4: Simplify right side
    145,158x = 98,389,025,735.06
  5. Step 5: Solve for x
    x = 98,389,025,735.06/145,158
  6. Step 6: Final answer
    x = 677,806.43

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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.