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Finding the Third Proportional to 180,820 and 272,550

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Solution

The third proportional to 180,820 and 272,550 is: 410,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,820 : 272,550 = 272,550 : x
  2. Step 2: Convert to fraction form
    180,820/272,550 = 272,550/x
  3. Step 3: Cross multiply
    180,820x = 272,550 × 272,550
  4. Step 4: Simplify right side
    180,820x = 74,283,502,500
  5. Step 5: Solve for x
    x = 74,283,502,500/180,820
  6. Step 6: Final answer
    x = 410,814.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.