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Finding the Third Proportional to 562,236 and 894,190

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Solution

The third proportional to 562,236 and 894,190 is: 1,422,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,236 : 894,190 = 894,190 : x
  2. Step 2: Convert to fraction form
    562,236/894,190 = 894,190/x
  3. Step 3: Cross multiply
    562,236x = 894,190 × 894,190
  4. Step 4: Simplify right side
    562,236x = 799,575,756,100
  5. Step 5: Solve for x
    x = 799,575,756,100/562,236
  6. Step 6: Final answer
    x = 1,422,135.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.