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Finding the Third Proportional to 282,805 and 609,889

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Solution

The third proportional to 282,805 and 609,889 is: 1,315,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,805 : 609,889 = 609,889 : x
  2. Step 2: Convert to fraction form
    282,805/609,889 = 609,889/x
  3. Step 3: Cross multiply
    282,805x = 609,889 × 609,889
  4. Step 4: Simplify right side
    282,805x = 371,964,592,321
  5. Step 5: Solve for x
    x = 371,964,592,321/282,805
  6. Step 6: Final answer
    x = 1,315,268.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.