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Finding the Third Proportional to 285,520 and 621,888

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Solution

The third proportional to 285,520 and 621,888 is: 1,354,527.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,520 : 621,888 = 621,888 : x
  2. Step 2: Convert to fraction form
    285,520/621,888 = 621,888/x
  3. Step 3: Cross multiply
    285,520x = 621,888 × 621,888
  4. Step 4: Simplify right side
    285,520x = 386,744,684,544
  5. Step 5: Solve for x
    x = 386,744,684,544/285,520
  6. Step 6: Final answer
    x = 1,354,527.47

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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.