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Finding the Third Proportional to 138,565 and 299,270

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Solution

The third proportional to 138,565 and 299,270 is: 646,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,565 : 299,270 = 299,270 : x
  2. Step 2: Convert to fraction form
    138,565/299,270 = 299,270/x
  3. Step 3: Cross multiply
    138,565x = 299,270 × 299,270
  4. Step 4: Simplify right side
    138,565x = 89,562,532,900
  5. Step 5: Solve for x
    x = 89,562,532,900/138,565
  6. Step 6: Final answer
    x = 646,357.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.