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Finding the Third Proportional to 150,490 and 326,912

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Solution

The third proportional to 150,490 and 326,912 is: 710,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,490 : 326,912 = 326,912 : x
  2. Step 2: Convert to fraction form
    150,490/326,912 = 326,912/x
  3. Step 3: Cross multiply
    150,490x = 326,912 × 326,912
  4. Step 4: Simplify right side
    150,490x = 106,871,455,744
  5. Step 5: Solve for x
    x = 106,871,455,744/150,490
  6. Step 6: Final answer
    x = 710,156.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.