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Finding the Third Proportional to 145,959 and 315,906

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Solution

The third proportional to 145,959 and 315,906 is: 683,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,959 : 315,906 = 315,906 : x
  2. Step 2: Convert to fraction form
    145,959/315,906 = 315,906/x
  3. Step 3: Cross multiply
    145,959x = 315,906 × 315,906
  4. Step 4: Simplify right side
    145,959x = 99,796,600,836
  5. Step 5: Solve for x
    x = 99,796,600,836/145,959
  6. Step 6: Final answer
    x = 683,730.37

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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.