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Finding the Third Proportional to 147,744 and 323,808

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Solution

The third proportional to 147,744 and 323,808 is: 709,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744 : 323,808 = 323,808 : x
  2. Step 2: Convert to fraction form
    147,744/323,808 = 323,808/x
  3. Step 3: Cross multiply
    147,744x = 323,808 × 323,808
  4. Step 4: Simplify right side
    147,744x = 104,851,620,864
  5. Step 5: Solve for x
    x = 104,851,620,864/147,744
  6. Step 6: Final answer
    x = 709,684.46

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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.