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Finding the Third Proportional to 632,880 and 845,412

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Solution

The third proportional to 632,880 and 845,412 is: 1,129,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,880 : 845,412 = 845,412 : x
  2. Step 2: Convert to fraction form
    632,880/845,412 = 845,412/x
  3. Step 3: Cross multiply
    632,880x = 845,412 × 845,412
  4. Step 4: Simplify right side
    632,880x = 714,721,449,744
  5. Step 5: Solve for x
    x = 714,721,449,744/632,880
  6. Step 6: Final answer
    x = 1,129,315.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.