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Finding the Third Proportional to 122,490 and 262,475

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Solution

The third proportional to 122,490 and 262,475 is: 562,438.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,490 : 262,475 = 262,475 : x
  2. Step 2: Convert to fraction form
    122,490/262,475 = 262,475/x
  3. Step 3: Cross multiply
    122,490x = 262,475 × 262,475
  4. Step 4: Simplify right side
    122,490x = 68,893,125,625
  5. Step 5: Solve for x
    x = 68,893,125,625/122,490
  6. Step 6: Final answer
    x = 562,438.78

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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.