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Finding the Third Proportional to 71,706,420 and 158,485,728

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Solution

The third proportional to 71,706,420 and 158,485,728 is: 350,285,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,706,420 : 158,485,728 = 158,485,728 : x
  2. Step 2: Convert to fraction form
    71,706,420/158,485,728 = 158,485,728/x
  3. Step 3: Cross multiply
    71,706,420x = 158,485,728 × 158,485,728
  4. Step 4: Simplify right side
    71,706,420x = 25,117,725,979,689,984
  5. Step 5: Solve for x
    x = 25,117,725,979,689,984/71,706,420
  6. Step 6: Final answer
    x = 350,285,594.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.