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Finding the Third Proportional to 42,431,412 and 91,624,056

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Solution

The third proportional to 42,431,412 and 91,624,056 is: 197,847,944.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,431,412 : 91,624,056 = 91,624,056 : x
  2. Step 2: Convert to fraction form
    42,431,412/91,624,056 = 91,624,056/x
  3. Step 3: Cross multiply
    42,431,412x = 91,624,056 × 91,624,056
  4. Step 4: Simplify right side
    42,431,412x = 8,394,967,637,891,136
  5. Step 5: Solve for x
    x = 8,394,967,637,891,136/42,431,412
  6. Step 6: Final answer
    x = 197,847,944.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.