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Finding the Third Proportional to 306,030 and 662,880

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Solution

The third proportional to 306,030 and 662,880 is: 1,435,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,030 : 662,880 = 662,880 : x
  2. Step 2: Convert to fraction form
    306,030/662,880 = 662,880/x
  3. Step 3: Cross multiply
    306,030x = 662,880 × 662,880
  4. Step 4: Simplify right side
    306,030x = 439,409,894,400
  5. Step 5: Solve for x
    x = 439,409,894,400/306,030
  6. Step 6: Final answer
    x = 1,435,839.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.