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Finding the Third Proportional to 258,487 and 558,485

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Solution

The third proportional to 258,487 and 558,485 is: 1,206,658.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,487 : 558,485 = 558,485 : x
  2. Step 2: Convert to fraction form
    258,487/558,485 = 558,485/x
  3. Step 3: Cross multiply
    258,487x = 558,485 × 558,485
  4. Step 4: Simplify right side
    258,487x = 311,905,495,225
  5. Step 5: Solve for x
    x = 311,905,495,225/258,487
  6. Step 6: Final answer
    x = 1,206,658.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.