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Finding the Third Proportional to 295,412 and 644,290

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Solution

The third proportional to 295,412 and 644,290 is: 1,405,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,412 : 644,290 = 644,290 : x
  2. Step 2: Convert to fraction form
    295,412/644,290 = 644,290/x
  3. Step 3: Cross multiply
    295,412x = 644,290 × 644,290
  4. Step 4: Simplify right side
    295,412x = 415,109,604,100
  5. Step 5: Solve for x
    x = 415,109,604,100/295,412
  6. Step 6: Final answer
    x = 1,405,188.70

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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.