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Finding the Third Proportional to 300,544 and 634,620

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Solution

The third proportional to 300,544 and 634,620 is: 1,340,045.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,544 : 634,620 = 634,620 : x
  2. Step 2: Convert to fraction form
    300,544/634,620 = 634,620/x
  3. Step 3: Cross multiply
    300,544x = 634,620 × 634,620
  4. Step 4: Simplify right side
    300,544x = 402,742,544,400
  5. Step 5: Solve for x
    x = 402,742,544,400/300,544
  6. Step 6: Final answer
    x = 1,340,045.20

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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.