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Finding the Third Proportional to 309,480 and 677,280

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Solution

The third proportional to 309,480 and 677,280 is: 1,482,190.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,480 : 677,280 = 677,280 : x
  2. Step 2: Convert to fraction form
    309,480/677,280 = 677,280/x
  3. Step 3: Cross multiply
    309,480x = 677,280 × 677,280
  4. Step 4: Simplify right side
    309,480x = 458,708,198,400
  5. Step 5: Solve for x
    x = 458,708,198,400/309,480
  6. Step 6: Final answer
    x = 1,482,190.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.