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Finding the Third Proportional to 146,045 and 306,830

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Solution

The third proportional to 146,045 and 306,830 is: 644,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,045 : 306,830 = 306,830 : x
  2. Step 2: Convert to fraction form
    146,045/306,830 = 306,830/x
  3. Step 3: Cross multiply
    146,045x = 306,830 × 306,830
  4. Step 4: Simplify right side
    146,045x = 94,144,648,900
  5. Step 5: Solve for x
    x = 94,144,648,900/146,045
  6. Step 6: Final answer
    x = 644,627.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.