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Finding the Third Proportional to 295,343 and 644,139

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Solution

The third proportional to 295,343 and 644,139 is: 1,404,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,343 : 644,139 = 644,139 : x
  2. Step 2: Convert to fraction form
    295,343/644,139 = 644,139/x
  3. Step 3: Cross multiply
    295,343x = 644,139 × 644,139
  4. Step 4: Simplify right side
    295,343x = 414,915,051,321
  5. Step 5: Solve for x
    x = 414,915,051,321/295,343
  6. Step 6: Final answer
    x = 1,404,858.25

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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.