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Finding the Third Proportional to 215,777.25 and 319,484.25

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Solution

The third proportional to 215,777.25 and 319,484.25 is: 473,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,777.25 : 319,484.25 = 319,484.25 : x
  2. Step 2: Convert to fraction form
    215,777.25/319,484.25 = 319,484.25/x
  3. Step 3: Cross multiply
    215,777.25x = 319,484.25 × 319,484.25
  4. Step 4: Simplify right side
    215,777.25x = 102,070,185,998.06
  5. Step 5: Solve for x
    x = 102,070,185,998.06/215,777.25
  6. Step 6: Final answer
    x = 473,034.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.