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Finding the Third Proportional to 278,919,645 and 608,060,520

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Solution

The third proportional to 278,919,645 and 608,060,520 is: 1,325,606,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919,645 : 608,060,520 = 608,060,520 : x
  2. Step 2: Convert to fraction form
    278,919,645/608,060,520 = 608,060,520/x
  3. Step 3: Cross multiply
    278,919,645x = 608,060,520 × 608,060,520
  4. Step 4: Simplify right side
    278,919,645x = 369,737,595,982,670,400
  5. Step 5: Solve for x
    x = 369,737,595,982,670,400/278,919,645
  6. Step 6: Final answer
    x = 1,325,606,147.19

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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.