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Finding the Third Proportional to 287,094 and 440,685

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Solution

The third proportional to 287,094 and 440,685 is: 676,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,094 : 440,685 = 440,685 : x
  2. Step 2: Convert to fraction form
    287,094/440,685 = 440,685/x
  3. Step 3: Cross multiply
    287,094x = 440,685 × 440,685
  4. Step 4: Simplify right side
    287,094x = 194,203,269,225
  5. Step 5: Solve for x
    x = 194,203,269,225/287,094
  6. Step 6: Final answer
    x = 676,444.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.