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Finding the Third Proportional to 309,044 and 641,772

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Solution

The third proportional to 309,044 and 641,772 is: 1,332,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,044 : 641,772 = 641,772 : x
  2. Step 2: Convert to fraction form
    309,044/641,772 = 641,772/x
  3. Step 3: Cross multiply
    309,044x = 641,772 × 641,772
  4. Step 4: Simplify right side
    309,044x = 411,871,299,984
  5. Step 5: Solve for x
    x = 411,871,299,984/309,044
  6. Step 6: Final answer
    x = 1,332,727.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.