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Finding the Third Proportional to 386,142.75 and 833,485.50

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Solution

The third proportional to 386,142.75 and 833,485.50 is: 1,799,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,142.75 : 833,485.50 = 833,485.50 : x
  2. Step 2: Convert to fraction form
    386,142.75/833,485.50 = 833,485.50/x
  3. Step 3: Cross multiply
    386,142.75x = 833,485.50 × 833,485.50
  4. Step 4: Simplify right side
    386,142.75x = 694,698,078,710.25
  5. Step 5: Solve for x
    x = 694,698,078,710.25/386,142.75
  6. Step 6: Final answer
    x = 1,799,070.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.