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Finding the Third Proportional to 389,952 and 589,200

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Solution

The third proportional to 389,952 and 589,200 is: 890,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,952 : 589,200 = 589,200 : x
  2. Step 2: Convert to fraction form
    389,952/589,200 = 589,200/x
  3. Step 3: Cross multiply
    389,952x = 589,200 × 589,200
  4. Step 4: Simplify right side
    389,952x = 347,156,640,000
  5. Step 5: Solve for x
    x = 347,156,640,000/389,952
  6. Step 6: Final answer
    x = 890,254.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.