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Finding the Third Proportional to 280,088 and 420,338

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Solution

The third proportional to 280,088 and 420,338 is: 630,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,088 : 420,338 = 420,338 : x
  2. Step 2: Convert to fraction form
    280,088/420,338 = 420,338/x
  3. Step 3: Cross multiply
    280,088x = 420,338 × 420,338
  4. Step 4: Simplify right side
    280,088x = 176,684,034,244
  5. Step 5: Solve for x
    x = 176,684,034,244/280,088
  6. Step 6: Final answer
    x = 630,816.15

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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.