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Finding the Third Proportional to 131,261 and 286,280

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Solution

The third proportional to 131,261 and 286,280 is: 624,376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,261 : 286,280 = 286,280 : x
  2. Step 2: Convert to fraction form
    131,261/286,280 = 286,280/x
  3. Step 3: Cross multiply
    131,261x = 286,280 × 286,280
  4. Step 4: Simplify right side
    131,261x = 81,956,238,400
  5. Step 5: Solve for x
    x = 81,956,238,400/131,261
  6. Step 6: Final answer
    x = 624,376.15

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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.