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Finding the Third Proportional to 285,087 and 619,454

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Solution

The third proportional to 285,087 and 619,454 is: 1,345,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,087 : 619,454 = 619,454 : x
  2. Step 2: Convert to fraction form
    285,087/619,454 = 619,454/x
  3. Step 3: Cross multiply
    285,087x = 619,454 × 619,454
  4. Step 4: Simplify right side
    285,087x = 383,723,258,116
  5. Step 5: Solve for x
    x = 383,723,258,116/285,087
  6. Step 6: Final answer
    x = 1,345,986.52

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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.