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Finding the Third Proportional to 131,280.75 and 286,322.34

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Solution

The third proportional to 131,280.75 and 286,322.34 is: 624,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,280.75 : 286,322.34 = 286,322.34 : x
  2. Step 2: Convert to fraction form
    131,280.75/286,322.34 = 286,322.34/x
  3. Step 3: Cross multiply
    131,280.75x = 286,322.34 × 286,322.34
  4. Step 4: Simplify right side
    131,280.75x = 81,980,484,530.49
  5. Step 5: Solve for x
    x = 81,980,484,530.49/131,280.75
  6. Step 6: Final answer
    x = 624,466.91

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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.