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Finding the Third Proportional to 136,410 and 299,890

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Solution

The third proportional to 136,410 and 299,890 is: 659,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410 : 299,890 = 299,890 : x
  2. Step 2: Convert to fraction form
    136,410/299,890 = 299,890/x
  3. Step 3: Cross multiply
    136,410x = 299,890 × 299,890
  4. Step 4: Simplify right side
    136,410x = 89,934,012,100
  5. Step 5: Solve for x
    x = 89,934,012,100/136,410
  6. Step 6: Final answer
    x = 659,291.93

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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.