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Finding the Third Proportional to 307,417,511.25 and 669,418,320

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Solution

The third proportional to 307,417,511.25 and 669,418,320 is: 1,457,694,733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417,511.25 : 669,418,320 = 669,418,320 : x
  2. Step 2: Convert to fraction form
    307,417,511.25/669,418,320 = 669,418,320/x
  3. Step 3: Cross multiply
    307,417,511.25x = 669,418,320 × 669,418,320
  4. Step 4: Simplify right side
    307,417,511.25x = 448,120,887,151,622,400
  5. Step 5: Solve for x
    x = 448,120,887,151,622,400/307,417,511.25
  6. Step 6: Final answer
    x = 1,457,694,733.55

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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.