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Finding the Third Proportional to 287,931.38 and 672,644.25

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Solution

The third proportional to 287,931.38 and 672,644.25 is: 1,571,382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,931.38 : 672,644.25 = 672,644.25 : x
  2. Step 2: Convert to fraction form
    287,931.38/672,644.25 = 672,644.25/x
  3. Step 3: Cross multiply
    287,931.38x = 672,644.25 × 672,644.25
  4. Step 4: Simplify right side
    287,931.38x = 452,450,287,058.06
  5. Step 5: Solve for x
    x = 452,450,287,058.06/287,931.38
  6. Step 6: Final answer
    x = 1,571,382.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.