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Finding the Third Proportional to 422,428 and 648,424

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Solution

The third proportional to 422,428 and 648,424 is: 995,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,428 : 648,424 = 648,424 : x
  2. Step 2: Convert to fraction form
    422,428/648,424 = 648,424/x
  3. Step 3: Cross multiply
    422,428x = 648,424 × 648,424
  4. Step 4: Simplify right side
    422,428x = 420,453,683,776
  5. Step 5: Solve for x
    x = 420,453,683,776/422,428
  6. Step 6: Final answer
    x = 995,326.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.