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Finding the Third Proportional to 258,960 and 553,900

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Solution

The third proportional to 258,960 and 553,900 is: 1,184,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,960 : 553,900 = 553,900 : x
  2. Step 2: Convert to fraction form
    258,960/553,900 = 553,900/x
  3. Step 3: Cross multiply
    258,960x = 553,900 × 553,900
  4. Step 4: Simplify right side
    258,960x = 306,805,210,000
  5. Step 5: Solve for x
    x = 306,805,210,000/258,960
  6. Step 6: Final answer
    x = 1,184,759.07

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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.