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Finding the Third Proportional to 282,586,515 and 381,679,417

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Solution

The third proportional to 282,586,515 and 381,679,417 is: 515,520,626.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,586,515 : 381,679,417 = 381,679,417 : x
  2. Step 2: Convert to fraction form
    282,586,515/381,679,417 = 381,679,417/x
  3. Step 3: Cross multiply
    282,586,515x = 381,679,417 × 381,679,417
  4. Step 4: Simplify right side
    282,586,515x = 145,679,177,361,459,904
  5. Step 5: Solve for x
    x = 145,679,177,361,459,904/282,586,515
  6. Step 6: Final answer
    x = 515,520,626.88

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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.