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Finding the Third Proportional to 129,679,977.75 and 280,065,423

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Solution

The third proportional to 129,679,977.75 and 280,065,423 is: 604,847,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,679,977.75 : 280,065,423 = 280,065,423 : x
  2. Step 2: Convert to fraction form
    129,679,977.75/280,065,423 = 280,065,423/x
  3. Step 3: Cross multiply
    129,679,977.75x = 280,065,423 × 280,065,423
  4. Step 4: Simplify right side
    129,679,977.75x = 78,436,641,160,168,928
  5. Step 5: Solve for x
    x = 78,436,641,160,168,928/129,679,977.75
  6. Step 6: Final answer
    x = 604,847,737.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.