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Finding the Third Proportional to 325,420.50 and 700,782

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Solution

The third proportional to 325,420.50 and 700,782 is: 1,509,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,420.50 : 700,782 = 700,782 : x
  2. Step 2: Convert to fraction form
    325,420.50/700,782 = 700,782/x
  3. Step 3: Cross multiply
    325,420.50x = 700,782 × 700,782
  4. Step 4: Simplify right side
    325,420.50x = 491,095,411,524
  5. Step 5: Solve for x
    x = 491,095,411,524/325,420.50
  6. Step 6: Final answer
    x = 1,509,110.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.