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Finding the Third Proportional to 285,606 and 623,700

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Solution

The third proportional to 285,606 and 623,700 is: 1,362,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,606 : 623,700 = 623,700 : x
  2. Step 2: Convert to fraction form
    285,606/623,700 = 623,700/x
  3. Step 3: Cross multiply
    285,606x = 623,700 × 623,700
  4. Step 4: Simplify right side
    285,606x = 389,001,690,000
  5. Step 5: Solve for x
    x = 389,001,690,000/285,606
  6. Step 6: Final answer
    x = 1,362,022.12

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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.