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Finding the Third Proportional to 231,305.63 and 535,439.11

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Solution

The third proportional to 231,305.63 and 535,439.11 is: 1,239,464.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,305.63 : 535,439.11 = 535,439.11 : x
  2. Step 2: Convert to fraction form
    231,305.63/535,439.11 = 535,439.11/x
  3. Step 3: Cross multiply
    231,305.63x = 535,439.11 × 535,439.11
  4. Step 4: Simplify right side
    231,305.63x = 286,695,039,848.29
  5. Step 5: Solve for x
    x = 286,695,039,848.29/231,305.63
  6. Step 6: Final answer
    x = 1,239,464.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.