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Finding the Third Proportional to 53,510 and 117,170

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Solution

The third proportional to 53,510 and 117,170 is: 256,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,510 : 117,170 = 117,170 : x
  2. Step 2: Convert to fraction form
    53,510/117,170 = 117,170/x
  3. Step 3: Cross multiply
    53,510x = 117,170 × 117,170
  4. Step 4: Simplify right side
    53,510x = 13,728,808,900
  5. Step 5: Solve for x
    x = 13,728,808,900/53,510
  6. Step 6: Final answer
    x = 256,565.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.