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Finding the Third Proportional to 768,311,401.50 and 1,653,151,410

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Solution

The third proportional to 768,311,401.50 and 1,653,151,410 is: 3,557,033,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,311,401.50 : 1,653,151,410 = 1,653,151,410 : x
  2. Step 2: Convert to fraction form
    768,311,401.50/1,653,151,410 = 1,653,151,410/x
  3. Step 3: Cross multiply
    768,311,401.50x = 1,653,151,410 × 1,653,151,410
  4. Step 4: Simplify right side
    768,311,401.50x = 2,732,909,584,384,988,160
  5. Step 5: Solve for x
    x = 2,732,909,584,384,988,160/768,311,401.50
  6. Step 6: Final answer
    x = 3,557,033,748.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.