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Finding the Third Proportional to 143,752 and 307,214

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Solution

The third proportional to 143,752 and 307,214 is: 656,550.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,752 : 307,214 = 307,214 : x
  2. Step 2: Convert to fraction form
    143,752/307,214 = 307,214/x
  3. Step 3: Cross multiply
    143,752x = 307,214 × 307,214
  4. Step 4: Simplify right side
    143,752x = 94,380,441,796
  5. Step 5: Solve for x
    x = 94,380,441,796/143,752
  6. Step 6: Final answer
    x = 656,550.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.