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Finding the Third Proportional to 287,152.88 and 422,436.38

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Solution

The third proportional to 287,152.88 and 422,436.38 is: 621,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,152.88 : 422,436.38 = 422,436.38 : x
  2. Step 2: Convert to fraction form
    287,152.88/422,436.38 = 422,436.38/x
  3. Step 3: Cross multiply
    287,152.88x = 422,436.38 × 422,436.38
  4. Step 4: Simplify right side
    287,152.88x = 178,452,490,923.14
  5. Step 5: Solve for x
    x = 178,452,490,923.14/287,152.88
  6. Step 6: Final answer
    x = 621,454.66

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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.