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Finding the Third Proportional to 85,420 and 133,613

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Solution

The third proportional to 85,420 and 133,613 is: 208,995.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,420 : 133,613 = 133,613 : x
  2. Step 2: Convert to fraction form
    85,420/133,613 = 133,613/x
  3. Step 3: Cross multiply
    85,420x = 133,613 × 133,613
  4. Step 4: Simplify right side
    85,420x = 17,852,433,769
  5. Step 5: Solve for x
    x = 17,852,433,769/85,420
  6. Step 6: Final answer
    x = 208,995.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.