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Finding the Third Proportional to 254,989 and 554,690

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Solution

The third proportional to 254,989 and 554,690 is: 1,206,644.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,989 : 554,690 = 554,690 : x
  2. Step 2: Convert to fraction form
    254,989/554,690 = 554,690/x
  3. Step 3: Cross multiply
    254,989x = 554,690 × 554,690
  4. Step 4: Simplify right side
    254,989x = 307,680,996,100
  5. Step 5: Solve for x
    x = 307,680,996,100/254,989
  6. Step 6: Final answer
    x = 1,206,644.19

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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.