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Finding the Third Proportional to 115,064 and 154,636

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Solution

The third proportional to 115,064 and 154,636 is: 207,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,064 : 154,636 = 154,636 : x
  2. Step 2: Convert to fraction form
    115,064/154,636 = 154,636/x
  3. Step 3: Cross multiply
    115,064x = 154,636 × 154,636
  4. Step 4: Simplify right side
    115,064x = 23,912,292,496
  5. Step 5: Solve for x
    x = 23,912,292,496/115,064
  6. Step 6: Final answer
    x = 207,817.32

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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.