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Finding the Third Proportional to 420,934,450.50 and 918,361,413

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Solution

The third proportional to 420,934,450.50 and 918,361,413 is: 2,003,608,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,934,450.50 : 918,361,413 = 918,361,413 : x
  2. Step 2: Convert to fraction form
    420,934,450.50/918,361,413 = 918,361,413/x
  3. Step 3: Cross multiply
    420,934,450.50x = 918,361,413 × 918,361,413
  4. Step 4: Simplify right side
    420,934,450.50x = 843,387,684,887,356,544
  5. Step 5: Solve for x
    x = 843,387,684,887,356,544/420,934,450.50
  6. Step 6: Final answer
    x = 2,003,608,124.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.