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Finding the Third Proportional to 218,020,878 and 478,415,529

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Solution

The third proportional to 218,020,878 and 478,415,529 is: 1,049,814,221.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,020,878 : 478,415,529 = 478,415,529 : x
  2. Step 2: Convert to fraction form
    218,020,878/478,415,529 = 478,415,529/x
  3. Step 3: Cross multiply
    218,020,878x = 478,415,529 × 478,415,529
  4. Step 4: Simplify right side
    218,020,878x = 228,881,418,388,349,856
  5. Step 5: Solve for x
    x = 228,881,418,388,349,856/218,020,878
  6. Step 6: Final answer
    x = 1,049,814,221.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.