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Finding the Third Proportional to 122,783 and 264,459

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Solution

The third proportional to 122,783 and 264,459 is: 569,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,783 : 264,459 = 264,459 : x
  2. Step 2: Convert to fraction form
    122,783/264,459 = 264,459/x
  3. Step 3: Cross multiply
    122,783x = 264,459 × 264,459
  4. Step 4: Simplify right side
    122,783x = 69,938,562,681
  5. Step 5: Solve for x
    x = 69,938,562,681/122,783
  6. Step 6: Final answer
    x = 569,611.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.