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Finding the Third Proportional to 287,573.63 and 622,747.13

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Solution

The third proportional to 287,573.63 and 622,747.13 is: 1,348,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,573.63 : 622,747.13 = 622,747.13 : x
  2. Step 2: Convert to fraction form
    287,573.63/622,747.13 = 622,747.13/x
  3. Step 3: Cross multiply
    287,573.63x = 622,747.13 × 622,747.13
  4. Step 4: Simplify right side
    287,573.63x = 387,813,981,695.77
  5. Step 5: Solve for x
    x = 387,813,981,695.77/287,573.63
  6. Step 6: Final answer
    x = 1,348,572.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.