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Finding the Third Proportional to 214,440 and 315,421

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Solution

The third proportional to 214,440 and 315,421 is: 463,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,440 : 315,421 = 315,421 : x
  2. Step 2: Convert to fraction form
    214,440/315,421 = 315,421/x
  3. Step 3: Cross multiply
    214,440x = 315,421 × 315,421
  4. Step 4: Simplify right side
    214,440x = 99,490,407,241
  5. Step 5: Solve for x
    x = 99,490,407,241/214,440
  6. Step 6: Final answer
    x = 463,954.52

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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.