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Finding the Third Proportional to 306,522 and 668,224

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Solution

The third proportional to 306,522 and 668,224 is: 1,456,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,522 : 668,224 = 668,224 : x
  2. Step 2: Convert to fraction form
    306,522/668,224 = 668,224/x
  3. Step 3: Cross multiply
    306,522x = 668,224 × 668,224
  4. Step 4: Simplify right side
    306,522x = 446,523,314,176
  5. Step 5: Solve for x
    x = 446,523,314,176/306,522
  6. Step 6: Final answer
    x = 1,456,741.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.