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Finding the Third Proportional to 285,023.81 and 619,331.06

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Solution

The third proportional to 285,023.81 and 619,331.06 is: 1,345,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,023.81 : 619,331.06 = 619,331.06 : x
  2. Step 2: Convert to fraction form
    285,023.81/619,331.06 = 619,331.06/x
  3. Step 3: Cross multiply
    285,023.81x = 619,331.06 × 619,331.06
  4. Step 4: Simplify right side
    285,023.81x = 383,570,964,977.38
  5. Step 5: Solve for x
    x = 383,570,964,977.38/285,023.81
  6. Step 6: Final answer
    x = 1,345,750.59

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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.