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Finding the Third Proportional to 408,045,963 and 885,370,242

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Solution

The third proportional to 408,045,963 and 885,370,242 is: 1,921,059,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,963 : 885,370,242 = 885,370,242 : x
  2. Step 2: Convert to fraction form
    408,045,963/885,370,242 = 885,370,242/x
  3. Step 3: Cross multiply
    408,045,963x = 885,370,242 × 885,370,242
  4. Step 4: Simplify right side
    408,045,963x = 783,880,465,419,138,560
  5. Step 5: Solve for x
    x = 783,880,465,419,138,560/408,045,963
  6. Step 6: Final answer
    x = 1,921,059,234.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.