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Finding the Third Proportional to 280,809 and 581,490

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Solution

The third proportional to 280,809 and 581,490 is: 1,204,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,809 : 581,490 = 581,490 : x
  2. Step 2: Convert to fraction form
    280,809/581,490 = 581,490/x
  3. Step 3: Cross multiply
    280,809x = 581,490 × 581,490
  4. Step 4: Simplify right side
    280,809x = 338,130,620,100
  5. Step 5: Solve for x
    x = 338,130,620,100/280,809
  6. Step 6: Final answer
    x = 1,204,130.28

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.