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Finding the Third Proportional to 287,729 and 440,337

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Solution

The third proportional to 287,729 and 440,337 is: 673,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,729 : 440,337 = 440,337 : x
  2. Step 2: Convert to fraction form
    287,729/440,337 = 440,337/x
  3. Step 3: Cross multiply
    287,729x = 440,337 × 440,337
  4. Step 4: Simplify right side
    287,729x = 193,896,673,569
  5. Step 5: Solve for x
    x = 193,896,673,569/287,729
  6. Step 6: Final answer
    x = 673,886.45

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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.