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Finding the Third Proportional to 378,624,991.50 and 565,850,676

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Solution

The third proportional to 378,624,991.50 and 565,850,676 is: 845,657,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,624,991.50 : 565,850,676 = 565,850,676 : x
  2. Step 2: Convert to fraction form
    378,624,991.50/565,850,676 = 565,850,676/x
  3. Step 3: Cross multiply
    378,624,991.50x = 565,850,676 × 565,850,676
  4. Step 4: Simplify right side
    378,624,991.50x = 320,186,987,529,656,960
  5. Step 5: Solve for x
    x = 320,186,987,529,656,960/378,624,991.50
  6. Step 6: Final answer
    x = 845,657,298.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.