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Finding the Third Proportional to 306,804 and 672,648

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Solution

The third proportional to 306,804 and 672,648 is: 1,474,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,804 : 672,648 = 672,648 : x
  2. Step 2: Convert to fraction form
    306,804/672,648 = 672,648/x
  3. Step 3: Cross multiply
    306,804x = 672,648 × 672,648
  4. Step 4: Simplify right side
    306,804x = 452,455,331,904
  5. Step 5: Solve for x
    x = 452,455,331,904/306,804
  6. Step 6: Final answer
    x = 1,474,737.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.