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Finding the Third Proportional to 307,417,515 and 669,418,328

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Solution

The third proportional to 307,417,515 and 669,418,328 is: 1,457,694,750.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,417,515 : 669,418,328 = 669,418,328 : x
  2. Step 2: Convert to fraction form
    307,417,515/669,418,328 = 669,418,328/x
  3. Step 3: Cross multiply
    307,417,515x = 669,418,328 × 669,418,328
  4. Step 4: Simplify right side
    307,417,515x = 448,120,897,862,315,584
  5. Step 5: Solve for x
    x = 448,120,897,862,315,584/307,417,515
  6. Step 6: Final answer
    x = 1,457,694,750.61

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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.