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Finding the Third Proportional to 280,435 and 435,056.50

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Solution

The third proportional to 280,435 and 435,056.50 is: 674,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,435 : 435,056.50 = 435,056.50 : x
  2. Step 2: Convert to fraction form
    280,435/435,056.50 = 435,056.50/x
  3. Step 3: Cross multiply
    280,435x = 435,056.50 × 435,056.50
  4. Step 4: Simplify right side
    280,435x = 189,274,158,192.25
  5. Step 5: Solve for x
    x = 189,274,158,192.25/280,435
  6. Step 6: Final answer
    x = 674,930.58

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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.