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Finding the Third Proportional to 288,146 and 422,877

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Solution

The third proportional to 288,146 and 422,877 is: 620,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,146 : 422,877 = 422,877 : x
  2. Step 2: Convert to fraction form
    288,146/422,877 = 422,877/x
  3. Step 3: Cross multiply
    288,146x = 422,877 × 422,877
  4. Step 4: Simplify right side
    288,146x = 178,824,957,129
  5. Step 5: Solve for x
    x = 178,824,957,129/288,146
  6. Step 6: Final answer
    x = 620,605.38

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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.