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Finding the Third Proportional to 200,255,018 and 415,857,838

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Solution

The third proportional to 200,255,018 and 415,857,838 is: 863,587,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,255,018 : 415,857,838 = 415,857,838 : x
  2. Step 2: Convert to fraction form
    200,255,018/415,857,838 = 415,857,838/x
  3. Step 3: Cross multiply
    200,255,018x = 415,857,838 × 415,857,838
  4. Step 4: Simplify right side
    200,255,018x = 172,937,741,426,034,240
  5. Step 5: Solve for x
    x = 172,937,741,426,034,240/200,255,018
  6. Step 6: Final answer
    x = 863,587,555.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.