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Finding the Third Proportional to 112,600 and 239,020

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Solution

The third proportional to 112,600 and 239,020 is: 507,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,600 : 239,020 = 239,020 : x
  2. Step 2: Convert to fraction form
    112,600/239,020 = 239,020/x
  3. Step 3: Cross multiply
    112,600x = 239,020 × 239,020
  4. Step 4: Simplify right side
    112,600x = 57,130,560,400
  5. Step 5: Solve for x
    x = 57,130,560,400/112,600
  6. Step 6: Final answer
    x = 507,376.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.