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Finding the Third Proportional to 198,561,036 and 306,215,576

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Solution

The third proportional to 198,561,036 and 306,215,576 is: 472,237,559.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,561,036 : 306,215,576 = 306,215,576 : x
  2. Step 2: Convert to fraction form
    198,561,036/306,215,576 = 306,215,576/x
  3. Step 3: Cross multiply
    198,561,036x = 306,215,576 × 306,215,576
  4. Step 4: Simplify right side
    198,561,036x = 93,767,978,985,011,776
  5. Step 5: Solve for x
    x = 93,767,978,985,011,776/198,561,036
  6. Step 6: Final answer
    x = 472,237,559.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.