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Finding the Third Proportional to 259,099.75 and 560,639

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Solution

The third proportional to 259,099.75 and 560,639 is: 1,213,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,099.75 : 560,639 = 560,639 : x
  2. Step 2: Convert to fraction form
    259,099.75/560,639 = 560,639/x
  3. Step 3: Cross multiply
    259,099.75x = 560,639 × 560,639
  4. Step 4: Simplify right side
    259,099.75x = 314,316,088,321
  5. Step 5: Solve for x
    x = 314,316,088,321/259,099.75
  6. Step 6: Final answer
    x = 1,213,108.42

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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.