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Finding the Third Proportional to 282,021 and 436,896

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Solution

The third proportional to 282,021 and 436,896 is: 676,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,021 : 436,896 = 436,896 : x
  2. Step 2: Convert to fraction form
    282,021/436,896 = 436,896/x
  3. Step 3: Cross multiply
    282,021x = 436,896 × 436,896
  4. Step 4: Simplify right side
    282,021x = 190,878,114,816
  5. Step 5: Solve for x
    x = 190,878,114,816/282,021
  6. Step 6: Final answer
    x = 676,822.35

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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.