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Finding the Third Proportional to 154,309 and 240,485

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Solution

The third proportional to 154,309 and 240,485 is: 374,787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,309 : 240,485 = 240,485 : x
  2. Step 2: Convert to fraction form
    154,309/240,485 = 240,485/x
  3. Step 3: Cross multiply
    154,309x = 240,485 × 240,485
  4. Step 4: Simplify right side
    154,309x = 57,833,035,225
  5. Step 5: Solve for x
    x = 57,833,035,225/154,309
  6. Step 6: Final answer
    x = 374,787.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.