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Finding the Third Proportional to 281,570 and 436,351

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Solution

The third proportional to 281,570 and 436,351 is: 676,216.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,570 : 436,351 = 436,351 : x
  2. Step 2: Convert to fraction form
    281,570/436,351 = 436,351/x
  3. Step 3: Cross multiply
    281,570x = 436,351 × 436,351
  4. Step 4: Simplify right side
    281,570x = 190,402,195,201
  5. Step 5: Solve for x
    x = 190,402,195,201/281,570
  6. Step 6: Final answer
    x = 676,216.20

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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.