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Finding the Third Proportional to 301,100 and 440,342

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Solution

The third proportional to 301,100 and 440,342 is: 643,975.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,100 : 440,342 = 440,342 : x
  2. Step 2: Convert to fraction form
    301,100/440,342 = 440,342/x
  3. Step 3: Cross multiply
    301,100x = 440,342 × 440,342
  4. Step 4: Simplify right side
    301,100x = 193,901,076,964
  5. Step 5: Solve for x
    x = 193,901,076,964/301,100
  6. Step 6: Final answer
    x = 643,975.68

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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.