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Finding the Third Proportional to 105,422 and 168,613

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Solution

The third proportional to 105,422 and 168,613 is: 269,681.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422 : 168,613 = 168,613 : x
  2. Step 2: Convert to fraction form
    105,422/168,613 = 168,613/x
  3. Step 3: Cross multiply
    105,422x = 168,613 × 168,613
  4. Step 4: Simplify right side
    105,422x = 28,430,343,769
  5. Step 5: Solve for x
    x = 28,430,343,769/105,422
  6. Step 6: Final answer
    x = 269,681.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.