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Finding the Third Proportional to 214,389 and 315,160

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Solution

The third proportional to 214,389 and 315,160 is: 463,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,389 : 315,160 = 315,160 : x
  2. Step 2: Convert to fraction form
    214,389/315,160 = 315,160/x
  3. Step 3: Cross multiply
    214,389x = 315,160 × 315,160
  4. Step 4: Simplify right side
    214,389x = 99,325,825,600
  5. Step 5: Solve for x
    x = 99,325,825,600/214,389
  6. Step 6: Final answer
    x = 463,297.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.