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Finding the Third Proportional to 643,224.38 and 845,827.31

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Solution

The third proportional to 643,224.38 and 845,827.31 is: 1,112,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,224.38 : 845,827.31 = 845,827.31 : x
  2. Step 2: Convert to fraction form
    643,224.38/845,827.31 = 845,827.31/x
  3. Step 3: Cross multiply
    643,224.38x = 845,827.31 × 845,827.31
  4. Step 4: Simplify right side
    643,224.38x = 715,423,842,570.97
  5. Step 5: Solve for x
    x = 715,423,842,570.97/643,224.38
  6. Step 6: Final answer
    x = 1,112,246.16

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.