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Finding the Third Proportional to 306,584 and 447,972

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Solution

The third proportional to 306,584 and 447,972 is: 654,564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,584 : 447,972 = 447,972 : x
  2. Step 2: Convert to fraction form
    306,584/447,972 = 447,972/x
  3. Step 3: Cross multiply
    306,584x = 447,972 × 447,972
  4. Step 4: Simplify right side
    306,584x = 200,678,912,784
  5. Step 5: Solve for x
    x = 200,678,912,784/306,584
  6. Step 6: Final answer
    x = 654,564.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.