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Finding the Third Proportional to 378,611,522 and 581,593,661

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Solution

The third proportional to 378,611,522 and 581,593,661 is: 893,399,082.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,611,522 : 581,593,661 = 581,593,661 : x
  2. Step 2: Convert to fraction form
    378,611,522/581,593,661 = 581,593,661/x
  3. Step 3: Cross multiply
    378,611,522x = 581,593,661 × 581,593,661
  4. Step 4: Simplify right side
    378,611,522x = 338,251,186,515,382,912
  5. Step 5: Solve for x
    x = 338,251,186,515,382,912/378,611,522
  6. Step 6: Final answer
    x = 893,399,082.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.