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Finding the Third Proportional to 301,146 and 440,388

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Solution

The third proportional to 301,146 and 440,388 is: 644,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,146 : 440,388 = 440,388 : x
  2. Step 2: Convert to fraction form
    301,146/440,388 = 440,388/x
  3. Step 3: Cross multiply
    301,146x = 440,388 × 440,388
  4. Step 4: Simplify right side
    301,146x = 193,941,590,544
  5. Step 5: Solve for x
    x = 193,941,590,544/301,146
  6. Step 6: Final answer
    x = 644,011.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.