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Finding the Third Proportional to 280,103 and 420,354

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Solution

The third proportional to 280,103 and 420,354 is: 630,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,103 : 420,354 = 420,354 : x
  2. Step 2: Convert to fraction form
    280,103/420,354 = 420,354/x
  3. Step 3: Cross multiply
    280,103x = 420,354 × 420,354
  4. Step 4: Simplify right side
    280,103x = 176,697,485,316
  5. Step 5: Solve for x
    x = 176,697,485,316/280,103
  6. Step 6: Final answer
    x = 630,830.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.