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Finding the Third Proportional to 280,560 and 601,320

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Solution

The third proportional to 280,560 and 601,320 is: 1,288,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,560 : 601,320 = 601,320 : x
  2. Step 2: Convert to fraction form
    280,560/601,320 = 601,320/x
  3. Step 3: Cross multiply
    280,560x = 601,320 × 601,320
  4. Step 4: Simplify right side
    280,560x = 361,585,742,400
  5. Step 5: Solve for x
    x = 361,585,742,400/280,560
  6. Step 6: Final answer
    x = 1,288,800.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.