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Finding the Third Proportional to 300,135 and 708,480

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Solution

The third proportional to 300,135 and 708,480 is: 1,672,393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,135 : 708,480 = 708,480 : x
  2. Step 2: Convert to fraction form
    300,135/708,480 = 708,480/x
  3. Step 3: Cross multiply
    300,135x = 708,480 × 708,480
  4. Step 4: Simplify right side
    300,135x = 501,943,910,400
  5. Step 5: Solve for x
    x = 501,943,910,400/300,135
  6. Step 6: Final answer
    x = 1,672,393.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.