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Finding the Third Proportional to 282,586,509 and 381,679,408.50

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Solution

The third proportional to 282,586,509 and 381,679,408.50 is: 515,520,614.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,586,509 : 381,679,408.50 = 381,679,408.50 : x
  2. Step 2: Convert to fraction form
    282,586,509/381,679,408.50 = 381,679,408.50/x
  3. Step 3: Cross multiply
    282,586,509x = 381,679,408.50 × 381,679,408.50
  4. Step 4: Simplify right side
    282,586,509x = 145,679,170,872,909,888
  5. Step 5: Solve for x
    x = 145,679,170,872,909,888/282,586,509
  6. Step 6: Final answer
    x = 515,520,614.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.