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Finding the Third Proportional to 389,492 and 851,080

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Solution

The third proportional to 389,492 and 851,080 is: 1,859,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,492 : 851,080 = 851,080 : x
  2. Step 2: Convert to fraction form
    389,492/851,080 = 851,080/x
  3. Step 3: Cross multiply
    389,492x = 851,080 × 851,080
  4. Step 4: Simplify right side
    389,492x = 724,337,166,400
  5. Step 5: Solve for x
    x = 724,337,166,400/389,492
  6. Step 6: Final answer
    x = 1,859,697.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.