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Finding the Third Proportional to 280,590 and 421,210

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Solution

The third proportional to 280,590 and 421,210 is: 632,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,590 : 421,210 = 421,210 : x
  2. Step 2: Convert to fraction form
    280,590/421,210 = 421,210/x
  3. Step 3: Cross multiply
    280,590x = 421,210 × 421,210
  4. Step 4: Simplify right side
    280,590x = 177,417,864,100
  5. Step 5: Solve for x
    x = 177,417,864,100/280,590
  6. Step 6: Final answer
    x = 632,302.88

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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.