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Finding the Third Proportional to 280,460.25 and 611,678.25

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Solution

The third proportional to 280,460.25 and 611,678.25 is: 1,334,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,460.25 : 611,678.25 = 611,678.25 : x
  2. Step 2: Convert to fraction form
    280,460.25/611,678.25 = 611,678.25/x
  3. Step 3: Cross multiply
    280,460.25x = 611,678.25 × 611,678.25
  4. Step 4: Simplify right side
    280,460.25x = 374,150,281,523.06
  5. Step 5: Solve for x
    x = 374,150,281,523.06/280,460.25
  6. Step 6: Final answer
    x = 1,334,058.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.