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Finding the Third Proportional to 287,326.50 and 422,652

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Solution

The third proportional to 287,326.50 and 422,652 is: 621,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,326.50 : 422,652 = 422,652 : x
  2. Step 2: Convert to fraction form
    287,326.50/422,652 = 422,652/x
  3. Step 3: Cross multiply
    287,326.50x = 422,652 × 422,652
  4. Step 4: Simplify right side
    287,326.50x = 178,634,713,104
  5. Step 5: Solve for x
    x = 178,634,713,104/287,326.50
  6. Step 6: Final answer
    x = 621,713.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.