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Finding the Third Proportional to 349,880 and 557,000

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Solution

The third proportional to 349,880 and 557,000 is: 886,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,880 : 557,000 = 557,000 : x
  2. Step 2: Convert to fraction form
    349,880/557,000 = 557,000/x
  3. Step 3: Cross multiply
    349,880x = 557,000 × 557,000
  4. Step 4: Simplify right side
    349,880x = 310,249,000,000
  5. Step 5: Solve for x
    x = 310,249,000,000/349,880
  6. Step 6: Final answer
    x = 886,729.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.