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Finding the Third Proportional to 280,433.25 and 435,055.50

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Solution

The third proportional to 280,433.25 and 435,055.50 is: 674,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,433.25 : 435,055.50 = 435,055.50 : x
  2. Step 2: Convert to fraction form
    280,433.25/435,055.50 = 435,055.50/x
  3. Step 3: Cross multiply
    280,433.25x = 435,055.50 × 435,055.50
  4. Step 4: Simplify right side
    280,433.25x = 189,273,288,080.25
  5. Step 5: Solve for x
    x = 189,273,288,080.25/280,433.25
  6. Step 6: Final answer
    x = 674,931.69

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.