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Finding the Third Proportional to 146,587 and 319,405

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Solution

The third proportional to 146,587 and 319,405 is: 695,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,587 : 319,405 = 319,405 : x
  2. Step 2: Convert to fraction form
    146,587/319,405 = 319,405/x
  3. Step 3: Cross multiply
    146,587x = 319,405 × 319,405
  4. Step 4: Simplify right side
    146,587x = 102,019,554,025
  5. Step 5: Solve for x
    x = 102,019,554,025/146,587
  6. Step 6: Final answer
    x = 695,965.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.