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Finding the Third Proportional to 295,404 and 644,277

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Solution

The third proportional to 295,404 and 644,277 is: 1,405,170.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,404 : 644,277 = 644,277 : x
  2. Step 2: Convert to fraction form
    295,404/644,277 = 644,277/x
  3. Step 3: Cross multiply
    295,404x = 644,277 × 644,277
  4. Step 4: Simplify right side
    295,404x = 415,092,852,729
  5. Step 5: Solve for x
    x = 415,092,852,729/295,404
  6. Step 6: Final answer
    x = 1,405,170.05

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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.