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Finding the Third Proportional to 306,120 and 410,580

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Solution

The third proportional to 306,120 and 410,580 is: 550,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,120 : 410,580 = 410,580 : x
  2. Step 2: Convert to fraction form
    306,120/410,580 = 410,580/x
  3. Step 3: Cross multiply
    306,120x = 410,580 × 410,580
  4. Step 4: Simplify right side
    306,120x = 168,575,936,400
  5. Step 5: Solve for x
    x = 168,575,936,400/306,120
  6. Step 6: Final answer
    x = 550,685.80

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.