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Finding the Third Proportional to 309,599.25 and 632,320.50

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Solution

The third proportional to 309,599.25 and 632,320.50 is: 1,291,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,599.25 : 632,320.50 = 632,320.50 : x
  2. Step 2: Convert to fraction form
    309,599.25/632,320.50 = 632,320.50/x
  3. Step 3: Cross multiply
    309,599.25x = 632,320.50 × 632,320.50
  4. Step 4: Simplify right side
    309,599.25x = 399,829,214,720.25
  5. Step 5: Solve for x
    x = 399,829,214,720.25/309,599.25
  6. Step 6: Final answer
    x = 1,291,441.16

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.