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Finding the Third Proportional to 108,820 and 239,708

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Solution

The third proportional to 108,820 and 239,708 is: 528,027.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,820 : 239,708 = 239,708 : x
  2. Step 2: Convert to fraction form
    108,820/239,708 = 239,708/x
  3. Step 3: Cross multiply
    108,820x = 239,708 × 239,708
  4. Step 4: Simplify right side
    108,820x = 57,459,925,264
  5. Step 5: Solve for x
    x = 57,459,925,264/108,820
  6. Step 6: Final answer
    x = 528,027.25

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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.