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Finding the Third Proportional to 131,261.81 and 286,280.38

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Solution

The third proportional to 131,261.81 and 286,280.38 is: 624,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,261.81 : 286,280.38 = 286,280.38 : x
  2. Step 2: Convert to fraction form
    131,261.81/286,280.38 = 286,280.38/x
  3. Step 3: Cross multiply
    131,261.81x = 286,280.38 × 286,280.38
  4. Step 4: Simplify right side
    131,261.81x = 81,956,453,110.14
  5. Step 5: Solve for x
    x = 81,956,453,110.14/131,261.81
  6. Step 6: Final answer
    x = 624,373.93

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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.