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Finding the Third Proportional to 381,432,987 and 823,833,702

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Solution

The third proportional to 381,432,987 and 823,833,702 is: 1,779,347,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,432,987 : 823,833,702 = 823,833,702 : x
  2. Step 2: Convert to fraction form
    381,432,987/823,833,702 = 823,833,702/x
  3. Step 3: Cross multiply
    381,432,987x = 823,833,702 × 823,833,702
  4. Step 4: Simplify right side
    381,432,987x = 678,701,968,551,024,768
  5. Step 5: Solve for x
    x = 678,701,968,551,024,768/381,432,987
  6. Step 6: Final answer
    x = 1,779,347,858.42

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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.