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Finding the Third Proportional to 118,393,361,472 and 170,172,816,480

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Solution

The third proportional to 118,393,361,472 and 170,172,816,480 is: 244,598,067,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,393,361,472 : 170,172,816,480 = 170,172,816,480 : x
  2. Step 2: Convert to fraction form
    118,393,361,472/170,172,816,480 = 170,172,816,480/x
  3. Step 3: Cross multiply
    118,393,361,472x = 170,172,816,480 × 170,172,816,480
  4. Step 4: Simplify right side
    118,393,361,472x = 28,958,787,468,735,761,350,656
  5. Step 5: Solve for x
    x = 28,958,787,468,735,761,350,656/118,393,361,472
  6. Step 6: Final answer
    x = 244,598,067,904.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.