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Finding the Third Proportional to 334,946 and 728,068

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Solution

The third proportional to 334,946 and 728,068 is: 1,582,592.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,946 : 728,068 = 728,068 : x
  2. Step 2: Convert to fraction form
    334,946/728,068 = 728,068/x
  3. Step 3: Cross multiply
    334,946x = 728,068 × 728,068
  4. Step 4: Simplify right side
    334,946x = 530,083,012,624
  5. Step 5: Solve for x
    x = 530,083,012,624/334,946
  6. Step 6: Final answer
    x = 1,582,592.46

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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.