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Finding the Third Proportional to 282,546 and 426,699

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Solution

The third proportional to 282,546 and 426,699 is: 644,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,546 : 426,699 = 426,699 : x
  2. Step 2: Convert to fraction form
    282,546/426,699 = 426,699/x
  3. Step 3: Cross multiply
    282,546x = 426,699 × 426,699
  4. Step 4: Simplify right side
    282,546x = 182,072,036,601
  5. Step 5: Solve for x
    x = 182,072,036,601/282,546
  6. Step 6: Final answer
    x = 644,397.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.