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Finding the Third Proportional to 78,429,268 and 172,336,906

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Solution

The third proportional to 78,429,268 and 172,336,906 is: 378,685,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,429,268 : 172,336,906 = 172,336,906 : x
  2. Step 2: Convert to fraction form
    78,429,268/172,336,906 = 172,336,906/x
  3. Step 3: Cross multiply
    78,429,268x = 172,336,906 × 172,336,906
  4. Step 4: Simplify right side
    78,429,268x = 29,700,009,169,652,836
  5. Step 5: Solve for x
    x = 29,700,009,169,652,836/78,429,268
  6. Step 6: Final answer
    x = 378,685,278.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.