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Finding the Third Proportional to 287,064 and 422,289

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Solution

The third proportional to 287,064 and 422,289 is: 621,213.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,064 : 422,289 = 422,289 : x
  2. Step 2: Convert to fraction form
    287,064/422,289 = 422,289/x
  3. Step 3: Cross multiply
    287,064x = 422,289 × 422,289
  4. Step 4: Simplify right side
    287,064x = 178,327,999,521
  5. Step 5: Solve for x
    x = 178,327,999,521/287,064
  6. Step 6: Final answer
    x = 621,213.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.