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Finding the Third Proportional to 46,377,448 and 100,746,196

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Solution

The third proportional to 46,377,448 and 100,746,196 is: 218,851,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,448 : 100,746,196 = 100,746,196 : x
  2. Step 2: Convert to fraction form
    46,377,448/100,746,196 = 100,746,196/x
  3. Step 3: Cross multiply
    46,377,448x = 100,746,196 × 100,746,196
  4. Step 4: Simplify right side
    46,377,448x = 10,149,796,008,470,416
  5. Step 5: Solve for x
    x = 10,149,796,008,470,416/46,377,448
  6. Step 6: Final answer
    x = 218,851,973.24

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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.