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Finding the Third Proportional to 409,402,512 and 628,957,872

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Solution

The third proportional to 409,402,512 and 628,957,872 is: 966,256,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,402,512 : 628,957,872 = 628,957,872 : x
  2. Step 2: Convert to fraction form
    409,402,512/628,957,872 = 628,957,872/x
  3. Step 3: Cross multiply
    409,402,512x = 628,957,872 × 628,957,872
  4. Step 4: Simplify right side
    409,402,512x = 395,588,004,750,768,384
  5. Step 5: Solve for x
    x = 395,588,004,750,768,384/409,402,512
  6. Step 6: Final answer
    x = 966,256,906.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.