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Finding the Third Proportional to 435,382.88 and 659,642.63

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Solution

The third proportional to 435,382.88 and 659,642.63 is: 999,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,382.88 : 659,642.63 = 659,642.63 : x
  2. Step 2: Convert to fraction form
    435,382.88/659,642.63 = 659,642.63/x
  3. Step 3: Cross multiply
    435,382.88x = 659,642.63 × 659,642.63
  4. Step 4: Simplify right side
    435,382.88x = 435,128,392,716.89
  5. Step 5: Solve for x
    x = 435,128,392,716.89/435,382.88
  6. Step 6: Final answer
    x = 999,415.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.