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Finding the Third Proportional to 408,045,972 and 885,370,256

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Solution

The third proportional to 408,045,972 and 885,370,256 is: 1,921,059,253.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,045,972 : 885,370,256 = 885,370,256 : x
  2. Step 2: Convert to fraction form
    408,045,972/885,370,256 = 885,370,256/x
  3. Step 3: Cross multiply
    408,045,972x = 885,370,256 × 885,370,256
  4. Step 4: Simplify right side
    408,045,972x = 783,880,490,209,505,536
  5. Step 5: Solve for x
    x = 783,880,490,209,505,536/408,045,972
  6. Step 6: Final answer
    x = 1,921,059,253.12

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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.