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Finding the Third Proportional to 121,427.44 and 257,652.56

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Solution

The third proportional to 121,427.44 and 257,652.56 is: 546,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,427.44 : 257,652.56 = 257,652.56 : x
  2. Step 2: Convert to fraction form
    121,427.44/257,652.56 = 257,652.56/x
  3. Step 3: Cross multiply
    121,427.44x = 257,652.56 × 257,652.56
  4. Step 4: Simplify right side
    121,427.44x = 66,384,842,962.82
  5. Step 5: Solve for x
    x = 66,384,842,962.82/121,427.44
  6. Step 6: Final answer
    x = 546,703.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.