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Finding the Third Proportional to 258,218.44 and 559,315.69

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Solution

The third proportional to 258,218.44 and 559,315.69 is: 1,211,509.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,218.44 : 559,315.69 = 559,315.69 : x
  2. Step 2: Convert to fraction form
    258,218.44/559,315.69 = 559,315.69/x
  3. Step 3: Cross multiply
    258,218.44x = 559,315.69 × 559,315.69
  4. Step 4: Simplify right side
    258,218.44x = 312,834,038,283.60
  5. Step 5: Solve for x
    x = 312,834,038,283.60/258,218.44
  6. Step 6: Final answer
    x = 1,211,509.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.