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Finding the Third Proportional to 150,130.13 and 326,396.25

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Solution

The third proportional to 150,130.13 and 326,396.25 is: 709,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,130.13 : 326,396.25 = 326,396.25 : x
  2. Step 2: Convert to fraction form
    150,130.13/326,396.25 = 326,396.25/x
  3. Step 3: Cross multiply
    150,130.13x = 326,396.25 × 326,396.25
  4. Step 4: Simplify right side
    150,130.13x = 106,534,512,014.06
  5. Step 5: Solve for x
    x = 106,534,512,014.06/150,130.13
  6. Step 6: Final answer
    x = 709,614.49

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1.5x scale

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.