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Finding the Third Proportional to 208,565,192 and 315,531,642

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Solution

The third proportional to 208,565,192 and 315,531,642 is: 477,357,780.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,565,192 : 315,531,642 = 315,531,642 : x
  2. Step 2: Convert to fraction form
    208,565,192/315,531,642 = 315,531,642/x
  3. Step 3: Cross multiply
    208,565,192x = 315,531,642 × 315,531,642
  4. Step 4: Simplify right side
    208,565,192x = 99,560,217,103,216,160
  5. Step 5: Solve for x
    x = 99,560,217,103,216,160/208,565,192
  6. Step 6: Final answer
    x = 477,357,780.31

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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.