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Finding the Third Proportional to 408,789,376 and 896,721,254

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Solution

The third proportional to 408,789,376 and 896,721,254 is: 1,967,049,670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,789,376 : 896,721,254 = 896,721,254 : x
  2. Step 2: Convert to fraction form
    408,789,376/896,721,254 = 896,721,254/x
  3. Step 3: Cross multiply
    408,789,376x = 896,721,254 × 896,721,254
  4. Step 4: Simplify right side
    408,789,376x = 804,109,007,375,332,480
  5. Step 5: Solve for x
    x = 804,109,007,375,332,480/408,789,376
  6. Step 6: Final answer
    x = 1,967,049,670.53

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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.