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Finding the Third Proportional to 281,106 and 434,797.50

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Solution

The third proportional to 281,106 and 434,797.50 is: 672,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106 : 434,797.50 = 434,797.50 : x
  2. Step 2: Convert to fraction form
    281,106/434,797.50 = 434,797.50/x
  3. Step 3: Cross multiply
    281,106x = 434,797.50 × 434,797.50
  4. Step 4: Simplify right side
    281,106x = 189,048,866,006.25
  5. Step 5: Solve for x
    x = 189,048,866,006.25/281,106
  6. Step 6: Final answer
    x = 672,518.08

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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.