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Finding the Third Proportional to 282,509 and 659,686.50

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Solution

The third proportional to 282,509 and 659,686.50 is: 1,540,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,509 : 659,686.50 = 659,686.50 : x
  2. Step 2: Convert to fraction form
    282,509/659,686.50 = 659,686.50/x
  3. Step 3: Cross multiply
    282,509x = 659,686.50 × 659,686.50
  4. Step 4: Simplify right side
    282,509x = 435,186,278,282.25
  5. Step 5: Solve for x
    x = 435,186,278,282.25/282,509
  6. Step 6: Final answer
    x = 1,540,433.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.