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Finding the Third Proportional to 279,674,436 and 423,395,874

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Solution

The third proportional to 279,674,436 and 423,395,874 is: 640,974,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,674,436 : 423,395,874 = 423,395,874 : x
  2. Step 2: Convert to fraction form
    279,674,436/423,395,874 = 423,395,874/x
  3. Step 3: Cross multiply
    279,674,436x = 423,395,874 × 423,395,874
  4. Step 4: Simplify right side
    279,674,436x = 179,264,066,120,223,872
  5. Step 5: Solve for x
    x = 179,264,066,120,223,872/279,674,436
  6. Step 6: Final answer
    x = 640,974,086.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.