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Finding the Third Proportional to 122,784 and 256,476

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Solution

The third proportional to 122,784 and 256,476 is: 535,737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,784 : 256,476 = 256,476 : x
  2. Step 2: Convert to fraction form
    122,784/256,476 = 256,476/x
  3. Step 3: Cross multiply
    122,784x = 256,476 × 256,476
  4. Step 4: Simplify right side
    122,784x = 65,779,938,576
  5. Step 5: Solve for x
    x = 65,779,938,576/122,784
  6. Step 6: Final answer
    x = 535,737.06

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.