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Finding the Third Proportional to 307,989,152 and 684,839,536

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Solution

The third proportional to 307,989,152 and 684,839,536 is: 1,522,797,757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,989,152 : 684,839,536 = 684,839,536 : x
  2. Step 2: Convert to fraction form
    307,989,152/684,839,536 = 684,839,536/x
  3. Step 3: Cross multiply
    307,989,152x = 684,839,536 × 684,839,536
  4. Step 4: Simplify right side
    307,989,152x = 469,005,190,068,695,296
  5. Step 5: Solve for x
    x = 469,005,190,068,695,296/307,989,152
  6. Step 6: Final answer
    x = 1,522,797,757.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.