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Finding the Third Proportional to 300,316 and 652,900

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Solution

The third proportional to 300,316 and 652,900 is: 1,419,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,316 : 652,900 = 652,900 : x
  2. Step 2: Convert to fraction form
    300,316/652,900 = 652,900/x
  3. Step 3: Cross multiply
    300,316x = 652,900 × 652,900
  4. Step 4: Simplify right side
    300,316x = 426,278,410,000
  5. Step 5: Solve for x
    x = 426,278,410,000/300,316
  6. Step 6: Final answer
    x = 1,419,432.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.