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Finding the Third Proportional to 409,861,415 and 633,944,420

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Solution

The third proportional to 409,861,415 and 633,944,420 is: 980,540,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,415 : 633,944,420 = 633,944,420 : x
  2. Step 2: Convert to fraction form
    409,861,415/633,944,420 = 633,944,420/x
  3. Step 3: Cross multiply
    409,861,415x = 633,944,420 × 633,944,420
  4. Step 4: Simplify right side
    409,861,415x = 401,885,527,649,136,384
  5. Step 5: Solve for x
    x = 401,885,527,649,136,384/409,861,415
  6. Step 6: Final answer
    x = 980,540,038.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.