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Finding the Third Proportional to 300,543 and 634,620

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Solution

The third proportional to 300,543 and 634,620 is: 1,340,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,543 : 634,620 = 634,620 : x
  2. Step 2: Convert to fraction form
    300,543/634,620 = 634,620/x
  3. Step 3: Cross multiply
    300,543x = 634,620 × 634,620
  4. Step 4: Simplify right side
    300,543x = 402,742,544,400
  5. Step 5: Solve for x
    x = 402,742,544,400/300,543
  6. Step 6: Final answer
    x = 1,340,049.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.