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Finding the Third Proportional to 35,613 and 77,409

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Solution

The third proportional to 35,613 and 77,409 is: 168,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,613 : 77,409 = 77,409 : x
  2. Step 2: Convert to fraction form
    35,613/77,409 = 77,409/x
  3. Step 3: Cross multiply
    35,613x = 77,409 × 77,409
  4. Step 4: Simplify right side
    35,613x = 5,992,153,281
  5. Step 5: Solve for x
    x = 5,992,153,281/35,613
  6. Step 6: Final answer
    x = 168,257.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.