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Finding the Third Proportional to 280,442 and 608,201

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Solution

The third proportional to 280,442 and 608,201 is: 1,319,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,442 : 608,201 = 608,201 : x
  2. Step 2: Convert to fraction form
    280,442/608,201 = 608,201/x
  3. Step 3: Cross multiply
    280,442x = 608,201 × 608,201
  4. Step 4: Simplify right side
    280,442x = 369,908,456,401
  5. Step 5: Solve for x
    x = 369,908,456,401/280,442
  6. Step 6: Final answer
    x = 1,319,019.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.