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Finding the Third Proportional to 270,720 and 406,080

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Solution

The third proportional to 270,720 and 406,080 is: 609,120

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,720 : 406,080 = 406,080 : x
  2. Step 2: Convert to fraction form
    270,720/406,080 = 406,080/x
  3. Step 3: Cross multiply
    270,720x = 406,080 × 406,080
  4. Step 4: Simplify right side
    270,720x = 164,900,966,400
  5. Step 5: Solve for x
    x = 164,900,966,400/270,720
  6. Step 6: Final answer
    x = 609,120

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.