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Finding the Third Proportional to 333,793 and 742,218

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Solution

The third proportional to 333,793 and 742,218 is: 1,650,386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,793 : 742,218 = 742,218 : x
  2. Step 2: Convert to fraction form
    333,793/742,218 = 742,218/x
  3. Step 3: Cross multiply
    333,793x = 742,218 × 742,218
  4. Step 4: Simplify right side
    333,793x = 550,887,559,524
  5. Step 5: Solve for x
    x = 550,887,559,524/333,793
  6. Step 6: Final answer
    x = 1,650,386.80

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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.