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Finding the Third Proportional to 170,430 and 266,769

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Solution

The third proportional to 170,430 and 266,769 is: 417,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,430 : 266,769 = 266,769 : x
  2. Step 2: Convert to fraction form
    170,430/266,769 = 266,769/x
  3. Step 3: Cross multiply
    170,430x = 266,769 × 266,769
  4. Step 4: Simplify right side
    170,430x = 71,165,699,361
  5. Step 5: Solve for x
    x = 71,165,699,361/170,430
  6. Step 6: Final answer
    x = 417,565.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.