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Finding the Third Proportional to 680,448,736 and 1,484,054,080

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Solution

The third proportional to 680,448,736 and 1,484,054,080 is: 3,236,711,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,448,736 : 1,484,054,080 = 1,484,054,080 : x
  2. Step 2: Convert to fraction form
    680,448,736/1,484,054,080 = 1,484,054,080/x
  3. Step 3: Cross multiply
    680,448,736x = 1,484,054,080 × 1,484,054,080
  4. Step 4: Simplify right side
    680,448,736x = 2,202,416,512,364,646,400
  5. Step 5: Solve for x
    x = 2,202,416,512,364,646,400/680,448,736
  6. Step 6: Final answer
    x = 3,236,711,887.09

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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.