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Finding the Third Proportional to 667,018,936.50 and 1,448,861,421

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Solution

The third proportional to 667,018,936.50 and 1,448,861,421 is: 3,147,136,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,018,936.50 : 1,448,861,421 = 1,448,861,421 : x
  2. Step 2: Convert to fraction form
    667,018,936.50/1,448,861,421 = 1,448,861,421/x
  3. Step 3: Cross multiply
    667,018,936.50x = 1,448,861,421 × 1,448,861,421
  4. Step 4: Simplify right side
    667,018,936.50x = 2,099,199,417,262,139,136
  5. Step 5: Solve for x
    x = 2,099,199,417,262,139,136/667,018,936.50
  6. Step 6: Final answer
    x = 3,147,136,164.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.