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Finding the Third Proportional to 153,399.66 and 314,469.84

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Solution

The third proportional to 153,399.66 and 314,469.84 is: 644,664.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,399.66 : 314,469.84 = 314,469.84 : x
  2. Step 2: Convert to fraction form
    153,399.66/314,469.84 = 314,469.84/x
  3. Step 3: Cross multiply
    153,399.66x = 314,469.84 × 314,469.84
  4. Step 4: Simplify right side
    153,399.66x = 98,891,282,628.15
  5. Step 5: Solve for x
    x = 98,891,282,628.15/153,399.66
  6. Step 6: Final answer
    x = 644,664.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.