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Finding the Third Proportional to 285,145 and 612,411

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Solution

The third proportional to 285,145 and 612,411 is: 1,315,286.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,145 : 612,411 = 612,411 : x
  2. Step 2: Convert to fraction form
    285,145/612,411 = 612,411/x
  3. Step 3: Cross multiply
    285,145x = 612,411 × 612,411
  4. Step 4: Simplify right side
    285,145x = 375,047,232,921
  5. Step 5: Solve for x
    x = 375,047,232,921/285,145
  6. Step 6: Final answer
    x = 1,315,286.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.