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Finding the Third Proportional to 295,396 and 644,258

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Solution

The third proportional to 295,396 and 644,258 is: 1,405,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,396 : 644,258 = 644,258 : x
  2. Step 2: Convert to fraction form
    295,396/644,258 = 644,258/x
  3. Step 3: Cross multiply
    295,396x = 644,258 × 644,258
  4. Step 4: Simplify right side
    295,396x = 415,068,370,564
  5. Step 5: Solve for x
    x = 415,068,370,564/295,396
  6. Step 6: Final answer
    x = 1,405,125.22

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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.