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Finding the Third Proportional to 282,511 and 418,878

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Solution

The third proportional to 282,511 and 418,878 is: 621,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,511 : 418,878 = 418,878 : x
  2. Step 2: Convert to fraction form
    282,511/418,878 = 418,878/x
  3. Step 3: Cross multiply
    282,511x = 418,878 × 418,878
  4. Step 4: Simplify right side
    282,511x = 175,458,778,884
  5. Step 5: Solve for x
    x = 175,458,778,884/282,511
  6. Step 6: Final answer
    x = 621,068.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.