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Finding the Third Proportional to 299,207 and 645,970

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Solution

The third proportional to 299,207 and 645,970 is: 1,394,610.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,207 : 645,970 = 645,970 : x
  2. Step 2: Convert to fraction form
    299,207/645,970 = 645,970/x
  3. Step 3: Cross multiply
    299,207x = 645,970 × 645,970
  4. Step 4: Simplify right side
    299,207x = 417,277,240,900
  5. Step 5: Solve for x
    x = 417,277,240,900/299,207
  6. Step 6: Final answer
    x = 1,394,610.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.