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Finding the Third Proportional to 279,670,648 and 423,391,056

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Solution

The third proportional to 279,670,648 and 423,391,056 is: 640,968,180.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,670,648 : 423,391,056 = 423,391,056 : x
  2. Step 2: Convert to fraction form
    279,670,648/423,391,056 = 423,391,056/x
  3. Step 3: Cross multiply
    279,670,648x = 423,391,056 × 423,391,056
  4. Step 4: Simplify right side
    279,670,648x = 179,259,986,300,795,136
  5. Step 5: Solve for x
    x = 179,259,986,300,795,136/279,670,648
  6. Step 6: Final answer
    x = 640,968,180.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.