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Finding the Third Proportional to 408,789,373 and 896,721,253

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Solution

The third proportional to 408,789,373 and 896,721,253 is: 1,967,049,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,373 : 896,721,253 = 896,721,253 : x
  2. Step 2: Convert to fraction form
    408,789,373/896,721,253 = 896,721,253/x
  3. Step 3: Cross multiply
    408,789,373x = 896,721,253 × 896,721,253
  4. Step 4: Simplify right side
    408,789,373x = 804,109,005,581,890,048
  5. Step 5: Solve for x
    x = 804,109,005,581,890,048/408,789,373
  6. Step 6: Final answer
    x = 1,967,049,680.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.