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Finding the Third Proportional to 153,682 and 314,951

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Solution

The third proportional to 153,682 and 314,951 is: 645,450.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,682 : 314,951 = 314,951 : x
  2. Step 2: Convert to fraction form
    153,682/314,951 = 314,951/x
  3. Step 3: Cross multiply
    153,682x = 314,951 × 314,951
  4. Step 4: Simplify right side
    153,682x = 99,194,132,401
  5. Step 5: Solve for x
    x = 99,194,132,401/153,682
  6. Step 6: Final answer
    x = 645,450.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.