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Finding the Third Proportional to 305,410.50 and 671,047.50

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Solution

The third proportional to 305,410.50 and 671,047.50 is: 1,474,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,410.50 : 671,047.50 = 671,047.50 : x
  2. Step 2: Convert to fraction form
    305,410.50/671,047.50 = 671,047.50/x
  3. Step 3: Cross multiply
    305,410.50x = 671,047.50 × 671,047.50
  4. Step 4: Simplify right side
    305,410.50x = 450,304,747,256.25
  5. Step 5: Solve for x
    x = 450,304,747,256.25/305,410.50
  6. Step 6: Final answer
    x = 1,474,424.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.