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Finding the Third Proportional to 389,282.06 and 836,762.63

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Solution

The third proportional to 389,282.06 and 836,762.63 is: 1,798,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,282.06 : 836,762.63 = 836,762.63 : x
  2. Step 2: Convert to fraction form
    389,282.06/836,762.63 = 836,762.63/x
  3. Step 3: Cross multiply
    389,282.06x = 836,762.63 × 836,762.63
  4. Step 4: Simplify right side
    389,282.06x = 700,171,690,596.89
  5. Step 5: Solve for x
    x = 700,171,690,596.89/389,282.06
  6. Step 6: Final answer
    x = 1,798,623.05

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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.