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Finding the Third Proportional to 279,674,432 and 423,395,868

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Solution

The third proportional to 279,674,432 and 423,395,868 is: 640,974,077.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,674,432 : 423,395,868 = 423,395,868 : x
  2. Step 2: Convert to fraction form
    279,674,432/423,395,868 = 423,395,868/x
  3. Step 3: Cross multiply
    279,674,432x = 423,395,868 × 423,395,868
  4. Step 4: Simplify right side
    279,674,432x = 179,264,061,039,473,408
  5. Step 5: Solve for x
    x = 179,264,061,039,473,408/279,674,432
  6. Step 6: Final answer
    x = 640,974,077.46

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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.