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Finding the Third Proportional to 259,047 and 557,459.75

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Solution

The third proportional to 259,047 and 557,459.75 is: 1,199,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,047 : 557,459.75 = 557,459.75 : x
  2. Step 2: Convert to fraction form
    259,047/557,459.75 = 557,459.75/x
  3. Step 3: Cross multiply
    259,047x = 557,459.75 × 557,459.75
  4. Step 4: Simplify right side
    259,047x = 310,761,372,870.06
  5. Step 5: Solve for x
    x = 310,761,372,870.06/259,047
  6. Step 6: Final answer
    x = 1,199,633.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.