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Finding the Third Proportional to 295,342 and 644,138

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Solution

The third proportional to 295,342 and 644,138 is: 1,404,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,342 : 644,138 = 644,138 : x
  2. Step 2: Convert to fraction form
    295,342/644,138 = 644,138/x
  3. Step 3: Cross multiply
    295,342x = 644,138 × 644,138
  4. Step 4: Simplify right side
    295,342x = 414,913,763,044
  5. Step 5: Solve for x
    x = 414,913,763,044/295,342
  6. Step 6: Final answer
    x = 1,404,858.65

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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.