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Finding the Third Proportional to 255,402 and 518,100

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Solution

The third proportional to 255,402 and 518,100 is: 1,051,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,402 : 518,100 = 518,100 : x
  2. Step 2: Convert to fraction form
    255,402/518,100 = 518,100/x
  3. Step 3: Cross multiply
    255,402x = 518,100 × 518,100
  4. Step 4: Simplify right side
    255,402x = 268,427,610,000
  5. Step 5: Solve for x
    x = 268,427,610,000/255,402
  6. Step 6: Final answer
    x = 1,051,000.42

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.