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Finding the Third Proportional to 100,436.63 and 142,786.13

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Solution

The third proportional to 100,436.63 and 142,786.13 is: 202,992.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,436.63 : 142,786.13 = 142,786.13 : x
  2. Step 2: Convert to fraction form
    100,436.63/142,786.13 = 142,786.13/x
  3. Step 3: Cross multiply
    100,436.63x = 142,786.13 × 142,786.13
  4. Step 4: Simplify right side
    100,436.63x = 20,387,877,492.52
  5. Step 5: Solve for x
    x = 20,387,877,492.52/100,436.63
  6. Step 6: Final answer
    x = 202,992.46

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.