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Finding the Third Proportional to 281,482 and 436,502

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Solution

The third proportional to 281,482 and 436,502 is: 676,895.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,482 : 436,502 = 436,502 : x
  2. Step 2: Convert to fraction form
    281,482/436,502 = 436,502/x
  3. Step 3: Cross multiply
    281,482x = 436,502 × 436,502
  4. Step 4: Simplify right side
    281,482x = 190,533,996,004
  5. Step 5: Solve for x
    x = 190,533,996,004/281,482
  6. Step 6: Final answer
    x = 676,895.84

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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.