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Finding the Third Proportional to 134,770 and 285,969

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Solution

The third proportional to 134,770 and 285,969 is: 606,798.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,770 : 285,969 = 285,969 : x
  2. Step 2: Convert to fraction form
    134,770/285,969 = 285,969/x
  3. Step 3: Cross multiply
    134,770x = 285,969 × 285,969
  4. Step 4: Simplify right side
    134,770x = 81,778,268,961
  5. Step 5: Solve for x
    x = 81,778,268,961/134,770
  6. Step 6: Final answer
    x = 606,798.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.