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Finding the Third Proportional to 153,911 and 236,415

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Solution

The third proportional to 153,911 and 236,415 is: 363,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,911 : 236,415 = 236,415 : x
  2. Step 2: Convert to fraction form
    153,911/236,415 = 236,415/x
  3. Step 3: Cross multiply
    153,911x = 236,415 × 236,415
  4. Step 4: Simplify right side
    153,911x = 55,892,052,225
  5. Step 5: Solve for x
    x = 55,892,052,225/153,911
  6. Step 6: Final answer
    x = 363,145.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.