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Finding the Third Proportional to 548,122,832 and 807,044,376

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Solution

The third proportional to 548,122,832 and 807,044,376 is: 1,188,274,939.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,122,832 : 807,044,376 = 807,044,376 : x
  2. Step 2: Convert to fraction form
    548,122,832/807,044,376 = 807,044,376/x
  3. Step 3: Cross multiply
    548,122,832x = 807,044,376 × 807,044,376
  4. Step 4: Simplify right side
    548,122,832x = 651,320,624,833,229,312
  5. Step 5: Solve for x
    x = 651,320,624,833,229,312/548,122,832
  6. Step 6: Final answer
    x = 1,188,274,939.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.