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Finding the Third Proportional to 300,416 and 643,480

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Solution

The third proportional to 300,416 and 643,480 is: 1,378,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,416 : 643,480 = 643,480 : x
  2. Step 2: Convert to fraction form
    300,416/643,480 = 643,480/x
  3. Step 3: Cross multiply
    300,416x = 643,480 × 643,480
  4. Step 4: Simplify right side
    300,416x = 414,066,510,400
  5. Step 5: Solve for x
    x = 414,066,510,400/300,416
  6. Step 6: Final answer
    x = 1,378,310.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.