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Finding the Third Proportional to 280,028 and 430,410

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Solution

The third proportional to 280,028 and 430,410 is: 661,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,028 : 430,410 = 430,410 : x
  2. Step 2: Convert to fraction form
    280,028/430,410 = 430,410/x
  3. Step 3: Cross multiply
    280,028x = 430,410 × 430,410
  4. Step 4: Simplify right side
    280,028x = 185,252,768,100
  5. Step 5: Solve for x
    x = 185,252,768,100/280,028
  6. Step 6: Final answer
    x = 661,550.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.