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Finding the Third Proportional to 147,395 and 315,816

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Solution

The third proportional to 147,395 and 315,816 is: 676,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,395 : 315,816 = 315,816 : x
  2. Step 2: Convert to fraction form
    147,395/315,816 = 315,816/x
  3. Step 3: Cross multiply
    147,395x = 315,816 × 315,816
  4. Step 4: Simplify right side
    147,395x = 99,739,745,856
  5. Step 5: Solve for x
    x = 99,739,745,856/147,395
  6. Step 6: Final answer
    x = 676,683.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.