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Finding the Third Proportional to 258,843.94 and 553,672.13

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Solution

The third proportional to 258,843.94 and 553,672.13 is: 1,184,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,843.94 : 553,672.13 = 553,672.13 : x
  2. Step 2: Convert to fraction form
    258,843.94/553,672.13 = 553,672.13/x
  3. Step 3: Cross multiply
    258,843.94x = 553,672.13 × 553,672.13
  4. Step 4: Simplify right side
    258,843.94x = 306,552,822,002.02
  5. Step 5: Solve for x
    x = 306,552,822,002.02/258,843.94
  6. Step 6: Final answer
    x = 1,184,315.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.