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Finding the Third Proportional to 522,253,728 and 790,097,472

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Solution

The third proportional to 522,253,728 and 790,097,472 is: 1,195,307,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,253,728 : 790,097,472 = 790,097,472 : x
  2. Step 2: Convert to fraction form
    522,253,728/790,097,472 = 790,097,472/x
  3. Step 3: Cross multiply
    522,253,728x = 790,097,472 × 790,097,472
  4. Step 4: Simplify right side
    522,253,728x = 624,254,015,260,790,784
  5. Step 5: Solve for x
    x = 624,254,015,260,790,784/522,253,728
  6. Step 6: Final answer
    x = 1,195,307,916.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.