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Finding the Third Proportional to 349,900 and 557,030

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Solution

The third proportional to 349,900 and 557,030 is: 886,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,900 : 557,030 = 557,030 : x
  2. Step 2: Convert to fraction form
    349,900/557,030 = 557,030/x
  3. Step 3: Cross multiply
    349,900x = 557,030 × 557,030
  4. Step 4: Simplify right side
    349,900x = 310,282,420,900
  5. Step 5: Solve for x
    x = 310,282,420,900/349,900
  6. Step 6: Final answer
    x = 886,774.57

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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.