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Finding the Third Proportional to 46,377,450 and 100,746,200

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Solution

The third proportional to 46,377,450 and 100,746,200 is: 218,851,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,450 : 100,746,200 = 100,746,200 : x
  2. Step 2: Convert to fraction form
    46,377,450/100,746,200 = 100,746,200/x
  3. Step 3: Cross multiply
    46,377,450x = 100,746,200 × 100,746,200
  4. Step 4: Simplify right side
    46,377,450x = 10,149,796,814,440,000
  5. Step 5: Solve for x
    x = 10,149,796,814,440,000/46,377,450
  6. Step 6: Final answer
    x = 218,851,981.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.