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Finding the Third Proportional to 258,128 and 553,622

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Solution

The third proportional to 258,128 and 553,622 is: 1,187,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,128 : 553,622 = 553,622 : x
  2. Step 2: Convert to fraction form
    258,128/553,622 = 553,622/x
  3. Step 3: Cross multiply
    258,128x = 553,622 × 553,622
  4. Step 4: Simplify right side
    258,128x = 306,497,318,884
  5. Step 5: Solve for x
    x = 306,497,318,884/258,128
  6. Step 6: Final answer
    x = 1,187,385.01

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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.