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Finding the Third Proportional to 147,840 and 324,018

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Solution

The third proportional to 147,840 and 324,018 is: 710,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,840 : 324,018 = 324,018 : x
  2. Step 2: Convert to fraction form
    147,840/324,018 = 324,018/x
  3. Step 3: Cross multiply
    147,840x = 324,018 × 324,018
  4. Step 4: Simplify right side
    147,840x = 104,987,664,324
  5. Step 5: Solve for x
    x = 104,987,664,324/147,840
  6. Step 6: Final answer
    x = 710,143.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.