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Finding the Third Proportional to 333,798 and 742,227

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Solution

The third proportional to 333,798 and 742,227 is: 1,650,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,798 : 742,227 = 742,227 : x
  2. Step 2: Convert to fraction form
    333,798/742,227 = 742,227/x
  3. Step 3: Cross multiply
    333,798x = 742,227 × 742,227
  4. Step 4: Simplify right side
    333,798x = 550,900,919,529
  5. Step 5: Solve for x
    x = 550,900,919,529/333,798
  6. Step 6: Final answer
    x = 1,650,402.10

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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.