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Finding the Third Proportional to 306,389 and 661,972

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Solution

The third proportional to 306,389 and 661,972 is: 1,430,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,389 : 661,972 = 661,972 : x
  2. Step 2: Convert to fraction form
    306,389/661,972 = 661,972/x
  3. Step 3: Cross multiply
    306,389x = 661,972 × 661,972
  4. Step 4: Simplify right side
    306,389x = 438,206,928,784
  5. Step 5: Solve for x
    x = 438,206,928,784/306,389
  6. Step 6: Final answer
    x = 1,430,230.62

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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.