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Finding the Third Proportional to 345,977 and 487,000

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Solution

The third proportional to 345,977 and 487,000 is: 685,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,977 : 487,000 = 487,000 : x
  2. Step 2: Convert to fraction form
    345,977/487,000 = 487,000/x
  3. Step 3: Cross multiply
    345,977x = 487,000 × 487,000
  4. Step 4: Simplify right side
    345,977x = 237,169,000,000
  5. Step 5: Solve for x
    x = 237,169,000,000/345,977
  6. Step 6: Final answer
    x = 685,505.11

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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.