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Finding the Third Proportional to 262,143 and 415,737

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Solution

The third proportional to 262,143 and 415,737 is: 659,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,143 : 415,737 = 415,737 : x
  2. Step 2: Convert to fraction form
    262,143/415,737 = 415,737/x
  3. Step 3: Cross multiply
    262,143x = 415,737 × 415,737
  4. Step 4: Simplify right side
    262,143x = 172,837,253,169
  5. Step 5: Solve for x
    x = 172,837,253,169/262,143
  6. Step 6: Final answer
    x = 659,324.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.