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Finding the Third Proportional to 279,369 and 621,972

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Solution

The third proportional to 279,369 and 621,972 is: 1,384,724.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,369 : 621,972 = 621,972 : x
  2. Step 2: Convert to fraction form
    279,369/621,972 = 621,972/x
  3. Step 3: Cross multiply
    279,369x = 621,972 × 621,972
  4. Step 4: Simplify right side
    279,369x = 386,849,168,784
  5. Step 5: Solve for x
    x = 386,849,168,784/279,369
  6. Step 6: Final answer
    x = 1,384,724.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.