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Finding the Third Proportional to 135,643.50 and 294,639

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Solution

The third proportional to 135,643.50 and 294,639 is: 640,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,643.50 : 294,639 = 294,639 : x
  2. Step 2: Convert to fraction form
    135,643.50/294,639 = 294,639/x
  3. Step 3: Cross multiply
    135,643.50x = 294,639 × 294,639
  4. Step 4: Simplify right side
    135,643.50x = 86,812,140,321
  5. Step 5: Solve for x
    x = 86,812,140,321/135,643.50
  6. Step 6: Final answer
    x = 640,002.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.