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Finding the Third Proportional to 278,919,690 and 608,060,640

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Solution

The third proportional to 278,919,690 and 608,060,640 is: 1,325,606,456.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919,690 : 608,060,640 = 608,060,640 : x
  2. Step 2: Convert to fraction form
    278,919,690/608,060,640 = 608,060,640/x
  3. Step 3: Cross multiply
    278,919,690x = 608,060,640 × 608,060,640
  4. Step 4: Simplify right side
    278,919,690x = 369,737,741,917,209,600
  5. Step 5: Solve for x
    x = 369,737,741,917,209,600/278,919,690
  6. Step 6: Final answer
    x = 1,325,606,456.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.