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Finding the Third Proportional to 198,381,324 and 427,161,624

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Solution

The third proportional to 198,381,324 and 427,161,624 is: 919,779,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,381,324 : 427,161,624 = 427,161,624 : x
  2. Step 2: Convert to fraction form
    198,381,324/427,161,624 = 427,161,624/x
  3. Step 3: Cross multiply
    198,381,324x = 427,161,624 × 427,161,624
  4. Step 4: Simplify right side
    198,381,324x = 182,467,053,018,317,376
  5. Step 5: Solve for x
    x = 182,467,053,018,317,376/198,381,324
  6. Step 6: Final answer
    x = 919,779,389.20

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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.