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Finding the Third Proportional to 280,267.88 and 435,165.75

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Solution

The third proportional to 280,267.88 and 435,165.75 is: 675,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,267.88 : 435,165.75 = 435,165.75 : x
  2. Step 2: Convert to fraction form
    280,267.88/435,165.75 = 435,165.75/x
  3. Step 3: Cross multiply
    280,267.88x = 435,165.75 × 435,165.75
  4. Step 4: Simplify right side
    280,267.88x = 189,369,229,973.06
  5. Step 5: Solve for x
    x = 189,369,229,973.06/280,267.88
  6. Step 6: Final answer
    x = 675,672.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.