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Finding the Third Proportional to 118,412 and 253,672

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Solution

The third proportional to 118,412 and 253,672 is: 543,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,412 : 253,672 = 253,672 : x
  2. Step 2: Convert to fraction form
    118,412/253,672 = 253,672/x
  3. Step 3: Cross multiply
    118,412x = 253,672 × 253,672
  4. Step 4: Simplify right side
    118,412x = 64,349,483,584
  5. Step 5: Solve for x
    x = 64,349,483,584/118,412
  6. Step 6: Final answer
    x = 543,437.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.