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Finding the Third Proportional to 287,135 and 422,770

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Solution

The third proportional to 287,135 and 422,770 is: 622,475.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,135 : 422,770 = 422,770 : x
  2. Step 2: Convert to fraction form
    287,135/422,770 = 422,770/x
  3. Step 3: Cross multiply
    287,135x = 422,770 × 422,770
  4. Step 4: Simplify right side
    287,135x = 178,734,472,900
  5. Step 5: Solve for x
    x = 178,734,472,900/287,135
  6. Step 6: Final answer
    x = 622,475.40

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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.