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Finding the Third Proportional to 199,841,978 and 299,761,977

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Solution

The third proportional to 199,841,978 and 299,761,977 is: 449,641,480.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,841,978 : 299,761,977 = 299,761,977 : x
  2. Step 2: Convert to fraction form
    199,841,978/299,761,977 = 299,761,977/x
  3. Step 3: Cross multiply
    199,841,978x = 299,761,977 × 299,761,977
  4. Step 4: Simplify right side
    199,841,978x = 89,857,242,854,948,528
  5. Step 5: Solve for x
    x = 89,857,242,854,948,528/199,841,978
  6. Step 6: Final answer
    x = 449,641,480.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.