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Finding the Third Proportional to 120,603 and 177,293.25

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Solution

The third proportional to 120,603 and 177,293.25 is: 260,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,603 : 177,293.25 = 177,293.25 : x
  2. Step 2: Convert to fraction form
    120,603/177,293.25 = 177,293.25/x
  3. Step 3: Cross multiply
    120,603x = 177,293.25 × 177,293.25
  4. Step 4: Simplify right side
    120,603x = 31,432,896,495.56
  5. Step 5: Solve for x
    x = 31,432,896,495.56/120,603
  6. Step 6: Final answer
    x = 260,631.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.