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Finding the Third Proportional to 295,427 and 644,323

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Solution

The third proportional to 295,427 and 644,323 is: 1,405,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,427 : 644,323 = 644,323 : x
  2. Step 2: Convert to fraction form
    295,427/644,323 = 644,323/x
  3. Step 3: Cross multiply
    295,427x = 644,323 × 644,323
  4. Step 4: Simplify right side
    295,427x = 415,152,128,329
  5. Step 5: Solve for x
    x = 415,152,128,329/295,427
  6. Step 6: Final answer
    x = 1,405,261.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.