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Finding the Third Proportional to 408,356,073 and 627,672,037.50

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Solution

The third proportional to 408,356,073 and 627,672,037.50 is: 964,776,117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,356,073 : 627,672,037.50 = 627,672,037.50 : x
  2. Step 2: Convert to fraction form
    408,356,073/627,672,037.50 = 627,672,037.50/x
  3. Step 3: Cross multiply
    408,356,073x = 627,672,037.50 × 627,672,037.50
  4. Step 4: Simplify right side
    408,356,073x = 393,972,186,659,401,408
  5. Step 5: Solve for x
    x = 393,972,186,659,401,408/408,356,073
  6. Step 6: Final answer
    x = 964,776,117.48

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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.