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Finding the Third Proportional to 313,426 and 440,410

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Solution

The third proportional to 313,426 and 440,410 is: 618,841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426 : 440,410 = 440,410 : x
  2. Step 2: Convert to fraction form
    313,426/440,410 = 440,410/x
  3. Step 3: Cross multiply
    313,426x = 440,410 × 440,410
  4. Step 4: Simplify right side
    313,426x = 193,960,968,100
  5. Step 5: Solve for x
    x = 193,960,968,100/313,426
  6. Step 6: Final answer
    x = 618,841.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.