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Finding the Third Proportional to 103,628 and 153,253

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Solution

The third proportional to 103,628 and 153,253 is: 226,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,628 : 153,253 = 153,253 : x
  2. Step 2: Convert to fraction form
    103,628/153,253 = 153,253/x
  3. Step 3: Cross multiply
    103,628x = 153,253 × 153,253
  4. Step 4: Simplify right side
    103,628x = 23,486,482,009
  5. Step 5: Solve for x
    x = 23,486,482,009/103,628
  6. Step 6: Final answer
    x = 226,642.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.