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Finding the Third Proportional to 53,128 and 115,602

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Solution

The third proportional to 53,128 and 115,602 is: 251,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,128 : 115,602 = 115,602 : x
  2. Step 2: Convert to fraction form
    53,128/115,602 = 115,602/x
  3. Step 3: Cross multiply
    53,128x = 115,602 × 115,602
  4. Step 4: Simplify right side
    53,128x = 13,363,822,404
  5. Step 5: Solve for x
    x = 13,363,822,404/53,128
  6. Step 6: Final answer
    x = 251,540.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.