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Finding the Third Proportional to 135,412 and 297,080

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Solution

The third proportional to 135,412 and 297,080 is: 651,762.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,412 : 297,080 = 297,080 : x
  2. Step 2: Convert to fraction form
    135,412/297,080 = 297,080/x
  3. Step 3: Cross multiply
    135,412x = 297,080 × 297,080
  4. Step 4: Simplify right side
    135,412x = 88,256,526,400
  5. Step 5: Solve for x
    x = 88,256,526,400/135,412
  6. Step 6: Final answer
    x = 651,762.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.