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Finding the Third Proportional to 307,417,423.50 and 669,418,249.50

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Solution

The third proportional to 307,417,423.50 and 669,418,249.50 is: 1,457,694,842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417,423.50 : 669,418,249.50 = 669,418,249.50 : x
  2. Step 2: Convert to fraction form
    307,417,423.50/669,418,249.50 = 669,418,249.50/x
  3. Step 3: Cross multiply
    307,417,423.50x = 669,418,249.50 × 669,418,249.50
  4. Step 4: Simplify right side
    307,417,423.50x = 448,120,792,763,644,224
  5. Step 5: Solve for x
    x = 448,120,792,763,644,224/307,417,423.50
  6. Step 6: Final answer
    x = 1,457,694,842.61

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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.