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Finding the Third Proportional to 133,782 and 286,246.50

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Solution

The third proportional to 133,782 and 286,246.50 is: 612,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782 : 286,246.50 = 286,246.50 : x
  2. Step 2: Convert to fraction form
    133,782/286,246.50 = 286,246.50/x
  3. Step 3: Cross multiply
    133,782x = 286,246.50 × 286,246.50
  4. Step 4: Simplify right side
    133,782x = 81,937,058,762.25
  5. Step 5: Solve for x
    x = 81,937,058,762.25/133,782
  6. Step 6: Final answer
    x = 612,466.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.