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Finding the Third Proportional to 124,727 and 256,807

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Solution

The third proportional to 124,727 and 256,807 is: 528,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,727 : 256,807 = 256,807 : x
  2. Step 2: Convert to fraction form
    124,727/256,807 = 256,807/x
  3. Step 3: Cross multiply
    124,727x = 256,807 × 256,807
  4. Step 4: Simplify right side
    124,727x = 65,949,835,249
  5. Step 5: Solve for x
    x = 65,949,835,249/124,727
  6. Step 6: Final answer
    x = 528,753.48

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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.