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Finding the Third Proportional to 75,509,150,544 and 163,586,361,711

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Solution

The third proportional to 75,509,150,544 and 163,586,361,711 is: 354,400,725,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,509,150,544 : 163,586,361,711 = 163,586,361,711 : x
  2. Step 2: Convert to fraction form
    75,509,150,544/163,586,361,711 = 163,586,361,711/x
  3. Step 3: Cross multiply
    75,509,150,544x = 163,586,361,711 × 163,586,361,711
  4. Step 4: Simplify right side
    75,509,150,544x = 26,760,497,737,842,124,914,688
  5. Step 5: Solve for x
    x = 26,760,497,737,842,124,914,688/75,509,150,544
  6. Step 6: Final answer
    x = 354,400,725,541.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.