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Finding the Third Proportional to 124,732 and 256,817

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Solution

The third proportional to 124,732 and 256,817 is: 528,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,732 : 256,817 = 256,817 : x
  2. Step 2: Convert to fraction form
    124,732/256,817 = 256,817/x
  3. Step 3: Cross multiply
    124,732x = 256,817 × 256,817
  4. Step 4: Simplify right side
    124,732x = 65,954,971,489
  5. Step 5: Solve for x
    x = 65,954,971,489/124,732
  6. Step 6: Final answer
    x = 528,773.46

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.