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Finding the Third Proportional to 305,944.50 and 653,928

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Solution

The third proportional to 305,944.50 and 653,928 is: 1,397,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,944.50 : 653,928 = 653,928 : x
  2. Step 2: Convert to fraction form
    305,944.50/653,928 = 653,928/x
  3. Step 3: Cross multiply
    305,944.50x = 653,928 × 653,928
  4. Step 4: Simplify right side
    305,944.50x = 427,621,829,184
  5. Step 5: Solve for x
    x = 427,621,829,184/305,944.50
  6. Step 6: Final answer
    x = 1,397,710.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.