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Finding the Third Proportional to 308,580 and 409,453.50

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Solution

The third proportional to 308,580 and 409,453.50 is: 543,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,580 : 409,453.50 = 409,453.50 : x
  2. Step 2: Convert to fraction form
    308,580/409,453.50 = 409,453.50/x
  3. Step 3: Cross multiply
    308,580x = 409,453.50 × 409,453.50
  4. Step 4: Simplify right side
    308,580x = 167,652,168,662.25
  5. Step 5: Solve for x
    x = 167,652,168,662.25/308,580
  6. Step 6: Final answer
    x = 543,302.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.