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Finding the Third Proportional to 198,536,428 and 298,014,738

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Solution

The third proportional to 198,536,428 and 298,014,738 is: 447,337,473.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,536,428 : 298,014,738 = 298,014,738 : x
  2. Step 2: Convert to fraction form
    198,536,428/298,014,738 = 298,014,738/x
  3. Step 3: Cross multiply
    198,536,428x = 298,014,738 × 298,014,738
  4. Step 4: Simplify right side
    198,536,428x = 88,812,784,065,208,640
  5. Step 5: Solve for x
    x = 88,812,784,065,208,640/198,536,428
  6. Step 6: Final answer
    x = 447,337,473.33

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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.