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Finding the Third Proportional to 146,121 and 315,000

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Solution

The third proportional to 146,121 and 315,000 is: 679,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,121 : 315,000 = 315,000 : x
  2. Step 2: Convert to fraction form
    146,121/315,000 = 315,000/x
  3. Step 3: Cross multiply
    146,121x = 315,000 × 315,000
  4. Step 4: Simplify right side
    146,121x = 99,225,000,000
  5. Step 5: Solve for x
    x = 99,225,000,000/146,121
  6. Step 6: Final answer
    x = 679,060.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.