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Finding the Third Proportional to 408,046,009 and 885,370,339

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Solution

The third proportional to 408,046,009 and 885,370,339 is: 1,921,059,439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,046,009 : 885,370,339 = 885,370,339 : x
  2. Step 2: Convert to fraction form
    408,046,009/885,370,339 = 885,370,339/x
  3. Step 3: Cross multiply
    408,046,009x = 885,370,339 × 885,370,339
  4. Step 4: Simplify right side
    408,046,009x = 783,880,637,180,974,976
  5. Step 5: Solve for x
    x = 783,880,637,180,974,976/408,046,009
  6. Step 6: Final answer
    x = 1,921,059,439.11

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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.