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Finding the Third Proportional to 309,000 and 677,032

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Solution

The third proportional to 309,000 and 677,032 is: 1,483,405.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,000 : 677,032 = 677,032 : x
  2. Step 2: Convert to fraction form
    309,000/677,032 = 677,032/x
  3. Step 3: Cross multiply
    309,000x = 677,032 × 677,032
  4. Step 4: Simplify right side
    309,000x = 458,372,329,024
  5. Step 5: Solve for x
    x = 458,372,329,024/309,000
  6. Step 6: Final answer
    x = 1,483,405.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.