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Finding the Third Proportional to 149,788 and 325,820

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Solution

The third proportional to 149,788 and 325,820 is: 708,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,788 : 325,820 = 325,820 : x
  2. Step 2: Convert to fraction form
    149,788/325,820 = 325,820/x
  3. Step 3: Cross multiply
    149,788x = 325,820 × 325,820
  4. Step 4: Simplify right side
    149,788x = 106,158,672,400
  5. Step 5: Solve for x
    x = 106,158,672,400/149,788
  6. Step 6: Final answer
    x = 708,726.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.