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Finding the Third Proportional to 145,828 and 314,418

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Solution

The third proportional to 145,828 and 314,418 is: 677,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,828 : 314,418 = 314,418 : x
  2. Step 2: Convert to fraction form
    145,828/314,418 = 314,418/x
  3. Step 3: Cross multiply
    145,828x = 314,418 × 314,418
  4. Step 4: Simplify right side
    145,828x = 98,858,678,724
  5. Step 5: Solve for x
    x = 98,858,678,724/145,828
  6. Step 6: Final answer
    x = 677,912.87

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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.