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Finding the Third Proportional to 152,659,878,644 and 335,603,125,543

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Solution

The third proportional to 152,659,878,644 and 335,603,125,543 is: 737,780,344,610.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,659,878,644 : 335,603,125,543 = 335,603,125,543 : x
  2. Step 2: Convert to fraction form
    152,659,878,644/335,603,125,543 = 335,603,125,543/x
  3. Step 3: Cross multiply
    152,659,878,644x = 335,603,125,543 × 335,603,125,543
  4. Step 4: Simplify right side
    152,659,878,644x = 112,629,457,874,230,626,484,224
  5. Step 5: Solve for x
    x = 112,629,457,874,230,626,484,224/152,659,878,644
  6. Step 6: Final answer
    x = 737,780,344,610.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.