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Finding the Third Proportional to 252,720 and 555,984

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Solution

The third proportional to 252,720 and 555,984 is: 1,223,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,720 : 555,984 = 555,984 : x
  2. Step 2: Convert to fraction form
    252,720/555,984 = 555,984/x
  3. Step 3: Cross multiply
    252,720x = 555,984 × 555,984
  4. Step 4: Simplify right side
    252,720x = 309,118,208,256
  5. Step 5: Solve for x
    x = 309,118,208,256/252,720
  6. Step 6: Final answer
    x = 1,223,164.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.