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Finding the Third Proportional to 299,294,360 and 643,145,200

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Solution

The third proportional to 299,294,360 and 643,145,200 is: 1,382,036,561.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,360 : 643,145,200 = 643,145,200 : x
  2. Step 2: Convert to fraction form
    299,294,360/643,145,200 = 643,145,200/x
  3. Step 3: Cross multiply
    299,294,360x = 643,145,200 × 643,145,200
  4. Step 4: Simplify right side
    299,294,360x = 413,635,748,283,040,000
  5. Step 5: Solve for x
    x = 413,635,748,283,040,000/299,294,360
  6. Step 6: Final answer
    x = 1,382,036,561.88

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Why These Related Problems?

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