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Finding the Third Proportional to 145,603 and 206,254.50

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Solution

The third proportional to 145,603 and 206,254.50 is: 292,170.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,603 : 206,254.50 = 206,254.50 : x
  2. Step 2: Convert to fraction form
    145,603/206,254.50 = 206,254.50/x
  3. Step 3: Cross multiply
    145,603x = 206,254.50 × 206,254.50
  4. Step 4: Simplify right side
    145,603x = 42,540,918,770.25
  5. Step 5: Solve for x
    x = 42,540,918,770.25/145,603
  6. Step 6: Final answer
    x = 292,170.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.