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Finding the Third Proportional to 320,564 and 455,644

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Solution

The third proportional to 320,564 and 455,644 is: 647,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,564 : 455,644 = 455,644 : x
  2. Step 2: Convert to fraction form
    320,564/455,644 = 455,644/x
  3. Step 3: Cross multiply
    320,564x = 455,644 × 455,644
  4. Step 4: Simplify right side
    320,564x = 207,611,454,736
  5. Step 5: Solve for x
    x = 207,611,454,736/320,564
  6. Step 6: Final answer
    x = 647,644.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.