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Finding the Third Proportional to 285,173 and 619,615

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Solution

The third proportional to 285,173 and 619,615 is: 1,346,280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,173 : 619,615 = 619,615 : x
  2. Step 2: Convert to fraction form
    285,173/619,615 = 619,615/x
  3. Step 3: Cross multiply
    285,173x = 619,615 × 619,615
  4. Step 4: Simplify right side
    285,173x = 383,922,748,225
  5. Step 5: Solve for x
    x = 383,922,748,225/285,173
  6. Step 6: Final answer
    x = 1,346,280.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.