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Finding the Third Proportional to 122,564 and 257,494

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Solution

The third proportional to 122,564 and 257,494 is: 540,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,564 : 257,494 = 257,494 : x
  2. Step 2: Convert to fraction form
    122,564/257,494 = 257,494/x
  3. Step 3: Cross multiply
    122,564x = 257,494 × 257,494
  4. Step 4: Simplify right side
    122,564x = 66,303,160,036
  5. Step 5: Solve for x
    x = 66,303,160,036/122,564
  6. Step 6: Final answer
    x = 540,967.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.