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Finding the Third Proportional to 280,838 and 609,304

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Solution

The third proportional to 280,838 and 609,304 is: 1,321,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,838 : 609,304 = 609,304 : x
  2. Step 2: Convert to fraction form
    280,838/609,304 = 609,304/x
  3. Step 3: Cross multiply
    280,838x = 609,304 × 609,304
  4. Step 4: Simplify right side
    280,838x = 371,251,364,416
  5. Step 5: Solve for x
    x = 371,251,364,416/280,838
  6. Step 6: Final answer
    x = 1,321,941.35

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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.