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Finding the Third Proportional to 258,905 and 553,789

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Solution

The third proportional to 258,905 and 553,789 is: 1,184,535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,905 : 553,789 = 553,789 : x
  2. Step 2: Convert to fraction form
    258,905/553,789 = 553,789/x
  3. Step 3: Cross multiply
    258,905x = 553,789 × 553,789
  4. Step 4: Simplify right side
    258,905x = 306,682,256,521
  5. Step 5: Solve for x
    x = 306,682,256,521/258,905
  6. Step 6: Final answer
    x = 1,184,535.86

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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.