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Finding the Third Proportional to 135,210 and 301,476

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Solution

The third proportional to 135,210 and 301,476 is: 672,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,210 : 301,476 = 301,476 : x
  2. Step 2: Convert to fraction form
    135,210/301,476 = 301,476/x
  3. Step 3: Cross multiply
    135,210x = 301,476 × 301,476
  4. Step 4: Simplify right side
    135,210x = 90,887,778,576
  5. Step 5: Solve for x
    x = 90,887,778,576/135,210
  6. Step 6: Final answer
    x = 672,197.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.