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Finding the Third Proportional to 435,599 and 659,966.25

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Solution

The third proportional to 435,599 and 659,966.25 is: 999,900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,599 : 659,966.25 = 659,966.25 : x
  2. Step 2: Convert to fraction form
    435,599/659,966.25 = 659,966.25/x
  3. Step 3: Cross multiply
    435,599x = 659,966.25 × 659,966.25
  4. Step 4: Simplify right side
    435,599x = 435,555,451,139.06
  5. Step 5: Solve for x
    x = 435,555,451,139.06/435,599
  6. Step 6: Final answer
    x = 999,900.03

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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.