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Finding the Third Proportional to 310,444 and 665,172

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Solution

The third proportional to 310,444 and 665,172 is: 1,425,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,444 : 665,172 = 665,172 : x
  2. Step 2: Convert to fraction form
    310,444/665,172 = 665,172/x
  3. Step 3: Cross multiply
    310,444x = 665,172 × 665,172
  4. Step 4: Simplify right side
    310,444x = 442,453,789,584
  5. Step 5: Solve for x
    x = 442,453,789,584/310,444
  6. Step 6: Final answer
    x = 1,425,228.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.