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Finding the Third Proportional to 193,344.47 and 415,256.63

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Solution

The third proportional to 193,344.47 and 415,256.63 is: 891,869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,344.47 : 415,256.63 = 415,256.63 : x
  2. Step 2: Convert to fraction form
    193,344.47/415,256.63 = 415,256.63/x
  3. Step 3: Cross multiply
    193,344.47x = 415,256.63 × 415,256.63
  4. Step 4: Simplify right side
    193,344.47x = 172,438,064,606.39
  5. Step 5: Solve for x
    x = 172,438,064,606.39/193,344.47
  6. Step 6: Final answer
    x = 891,869.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.