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Finding the Third Proportional to 295,290 and 644,708

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Solution

The third proportional to 295,290 and 644,708 is: 1,407,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,290 : 644,708 = 644,708 : x
  2. Step 2: Convert to fraction form
    295,290/644,708 = 644,708/x
  3. Step 3: Cross multiply
    295,290x = 644,708 × 644,708
  4. Step 4: Simplify right side
    295,290x = 415,648,405,264
  5. Step 5: Solve for x
    x = 415,648,405,264/295,290
  6. Step 6: Final answer
    x = 1,407,593.91

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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.