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Finding the Third Proportional to 333,800 and 742,231

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Solution

The third proportional to 333,800 and 742,231 is: 1,650,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,800 : 742,231 = 742,231 : x
  2. Step 2: Convert to fraction form
    333,800/742,231 = 742,231/x
  3. Step 3: Cross multiply
    333,800x = 742,231 × 742,231
  4. Step 4: Simplify right side
    333,800x = 550,906,857,361
  5. Step 5: Solve for x
    x = 550,906,857,361/333,800
  6. Step 6: Final answer
    x = 1,650,410.00

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.