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Finding the Third Proportional to 381,432,978 and 823,833,684

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Solution

The third proportional to 381,432,978 and 823,833,684 is: 1,779,347,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,432,978 : 823,833,684 = 823,833,684 : x
  2. Step 2: Convert to fraction form
    381,432,978/823,833,684 = 823,833,684/x
  3. Step 3: Cross multiply
    381,432,978x = 823,833,684 × 823,833,684
  4. Step 4: Simplify right side
    381,432,978x = 678,701,938,893,011,840
  5. Step 5: Solve for x
    x = 678,701,938,893,011,840/381,432,978
  6. Step 6: Final answer
    x = 1,779,347,822.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.