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Finding the Third Proportional to 287,323.88 and 422,647.88

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Solution

The third proportional to 287,323.88 and 422,647.88 is: 621,706.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,323.88 : 422,647.88 = 422,647.88 : x
  2. Step 2: Convert to fraction form
    287,323.88/422,647.88 = 422,647.88/x
  3. Step 3: Cross multiply
    287,323.88x = 422,647.88 × 422,647.88
  4. Step 4: Simplify right side
    287,323.88x = 178,631,226,242.02
  5. Step 5: Solve for x
    x = 178,631,226,242.02/287,323.88
  6. Step 6: Final answer
    x = 621,706.87

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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.