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Finding the Third Proportional to 555,147 and 1,214,769

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Solution

The third proportional to 555,147 and 1,214,769 is: 2,658,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,147 : 1,214,769 = 1,214,769 : x
  2. Step 2: Convert to fraction form
    555,147/1,214,769 = 1,214,769/x
  3. Step 3: Cross multiply
    555,147x = 1,214,769 × 1,214,769
  4. Step 4: Simplify right side
    555,147x = 1,475,663,723,361
  5. Step 5: Solve for x
    x = 1,475,663,723,361/555,147
  6. Step 6: Final answer
    x = 2,658,149.51

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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.