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Finding the Third Proportional to 285,254 and 610,990

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Solution

The third proportional to 285,254 and 610,990 is: 1,308,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,254 : 610,990 = 610,990 : x
  2. Step 2: Convert to fraction form
    285,254/610,990 = 610,990/x
  3. Step 3: Cross multiply
    285,254x = 610,990 × 610,990
  4. Step 4: Simplify right side
    285,254x = 373,308,780,100
  5. Step 5: Solve for x
    x = 373,308,780,100/285,254
  6. Step 6: Final answer
    x = 1,308,689.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.