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Finding the Third Proportional to 285,724 and 620,707

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Solution

The third proportional to 285,724 and 620,707 is: 1,348,424.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,724 : 620,707 = 620,707 : x
  2. Step 2: Convert to fraction form
    285,724/620,707 = 620,707/x
  3. Step 3: Cross multiply
    285,724x = 620,707 × 620,707
  4. Step 4: Simplify right side
    285,724x = 385,277,179,849
  5. Step 5: Solve for x
    x = 385,277,179,849/285,724
  6. Step 6: Final answer
    x = 1,348,424.28

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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.