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Finding the Third Proportional to 271,565 and 411,720.50

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Solution

The third proportional to 271,565 and 411,720.50 is: 624,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,565 : 411,720.50 = 411,720.50 : x
  2. Step 2: Convert to fraction form
    271,565/411,720.50 = 411,720.50/x
  3. Step 3: Cross multiply
    271,565x = 411,720.50 × 411,720.50
  4. Step 4: Simplify right side
    271,565x = 169,513,770,120.25
  5. Step 5: Solve for x
    x = 169,513,770,120.25/271,565
  6. Step 6: Final answer
    x = 624,210.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.