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Finding the Third Proportional to 295,405 and 644,276

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Solution

The third proportional to 295,405 and 644,276 is: 1,405,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,405 : 644,276 = 644,276 : x
  2. Step 2: Convert to fraction form
    295,405/644,276 = 644,276/x
  3. Step 3: Cross multiply
    295,405x = 644,276 × 644,276
  4. Step 4: Simplify right side
    295,405x = 415,091,564,176
  5. Step 5: Solve for x
    x = 415,091,564,176/295,405
  6. Step 6: Final answer
    x = 1,405,160.93

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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.