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Finding the Third Proportional to 278,424,064 and 579,715,763

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Solution

The third proportional to 278,424,064 and 579,715,763 is: 1,207,044,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,424,064 : 579,715,763 = 579,715,763 : x
  2. Step 2: Convert to fraction form
    278,424,064/579,715,763 = 579,715,763/x
  3. Step 3: Cross multiply
    278,424,064x = 579,715,763 × 579,715,763
  4. Step 4: Simplify right side
    278,424,064x = 336,070,365,870,672,192
  5. Step 5: Solve for x
    x = 336,070,365,870,672,192/278,424,064
  6. Step 6: Final answer
    x = 1,207,044,969.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.