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Finding the Third Proportional to 258,217.88 and 559,313.44

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Solution

The third proportional to 258,217.88 and 559,313.44 is: 1,211,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,217.88 : 559,313.44 = 559,313.44 : x
  2. Step 2: Convert to fraction form
    258,217.88/559,313.44 = 559,313.44/x
  3. Step 3: Cross multiply
    258,217.88x = 559,313.44 × 559,313.44
  4. Step 4: Simplify right side
    258,217.88x = 312,831,521,368.07
  5. Step 5: Solve for x
    x = 312,831,521,368.07/258,217.88
  6. Step 6: Final answer
    x = 1,211,502.19

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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.