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Finding the Third Proportional to 281,623 and 435,804

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Solution

The third proportional to 281,623 and 435,804 is: 674,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,623 : 435,804 = 435,804 : x
  2. Step 2: Convert to fraction form
    281,623/435,804 = 435,804/x
  3. Step 3: Cross multiply
    281,623x = 435,804 × 435,804
  4. Step 4: Simplify right side
    281,623x = 189,925,126,416
  5. Step 5: Solve for x
    x = 189,925,126,416/281,623
  6. Step 6: Final answer
    x = 674,394.94

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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.