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Finding the Third Proportional to 571,000 and 889,200

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Solution

The third proportional to 571,000 and 889,200 is: 1,384,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,000 : 889,200 = 889,200 : x
  2. Step 2: Convert to fraction form
    571,000/889,200 = 889,200/x
  3. Step 3: Cross multiply
    571,000x = 889,200 × 889,200
  4. Step 4: Simplify right side
    571,000x = 790,676,640,000
  5. Step 5: Solve for x
    x = 790,676,640,000/571,000
  6. Step 6: Final answer
    x = 1,384,722.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.