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Finding the Third Proportional to 56,303 and 121,628

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Solution

The third proportional to 56,303 and 121,628 is: 262,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,303 : 121,628 = 121,628 : x
  2. Step 2: Convert to fraction form
    56,303/121,628 = 121,628/x
  3. Step 3: Cross multiply
    56,303x = 121,628 × 121,628
  4. Step 4: Simplify right side
    56,303x = 14,793,370,384
  5. Step 5: Solve for x
    x = 14,793,370,384/56,303
  6. Step 6: Final answer
    x = 262,745.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.