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Finding the Third Proportional to 28,130 and 42,203

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Solution

The third proportional to 28,130 and 42,203 is: 63,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,130 : 42,203 = 42,203 : x
  2. Step 2: Convert to fraction form
    28,130/42,203 = 42,203/x
  3. Step 3: Cross multiply
    28,130x = 42,203 × 42,203
  4. Step 4: Simplify right side
    28,130x = 1,781,093,209
  5. Step 5: Solve for x
    x = 1,781,093,209/28,130
  6. Step 6: Final answer
    x = 63,316.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.