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Finding the Third Proportional to 374,858 and 809,590

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Solution

The third proportional to 374,858 and 809,590 is: 1,748,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,858 : 809,590 = 809,590 : x
  2. Step 2: Convert to fraction form
    374,858/809,590 = 809,590/x
  3. Step 3: Cross multiply
    374,858x = 809,590 × 809,590
  4. Step 4: Simplify right side
    374,858x = 655,435,968,100
  5. Step 5: Solve for x
    x = 655,435,968,100/374,858
  6. Step 6: Final answer
    x = 1,748,491.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.