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Finding the Third Proportional to 306,482 and 649,820

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Solution

The third proportional to 306,482 and 649,820 is: 1,377,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,482 : 649,820 = 649,820 : x
  2. Step 2: Convert to fraction form
    306,482/649,820 = 649,820/x
  3. Step 3: Cross multiply
    306,482x = 649,820 × 649,820
  4. Step 4: Simplify right side
    306,482x = 422,266,032,400
  5. Step 5: Solve for x
    x = 422,266,032,400/306,482
  6. Step 6: Final answer
    x = 1,377,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.