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Finding the Third Proportional to 210,963.38 and 429,760.13

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Solution

The third proportional to 210,963.38 and 429,760.13 is: 875,477.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,963.38 : 429,760.13 = 429,760.13 : x
  2. Step 2: Convert to fraction form
    210,963.38/429,760.13 = 429,760.13/x
  3. Step 3: Cross multiply
    210,963.38x = 429,760.13 × 429,760.13
  4. Step 4: Simplify right side
    210,963.38x = 184,693,765,040.02
  5. Step 5: Solve for x
    x = 184,693,765,040.02/210,963.38
  6. Step 6: Final answer
    x = 875,477.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.