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Finding the Third Proportional to 638,336 and 971,328

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Solution

The third proportional to 638,336 and 971,328 is: 1,478,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,336 : 971,328 = 971,328 : x
  2. Step 2: Convert to fraction form
    638,336/971,328 = 971,328/x
  3. Step 3: Cross multiply
    638,336x = 971,328 × 971,328
  4. Step 4: Simplify right side
    638,336x = 943,478,083,584
  5. Step 5: Solve for x
    x = 943,478,083,584/638,336
  6. Step 6: Final answer
    x = 1,478,027.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.