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Finding the Third Proportional to 208,565,194 and 315,531,646

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Solution

The third proportional to 208,565,194 and 315,531,646 is: 477,357,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565,194 : 315,531,646 = 315,531,646 : x
  2. Step 2: Convert to fraction form
    208,565,194/315,531,646 = 315,531,646/x
  3. Step 3: Cross multiply
    208,565,194x = 315,531,646 × 315,531,646
  4. Step 4: Simplify right side
    208,565,194x = 99,560,219,627,469,312
  5. Step 5: Solve for x
    x = 99,560,219,627,469,312/208,565,194
  6. Step 6: Final answer
    x = 477,357,787.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.