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Finding the Third Proportional to 214,576 and 315,292

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Solution

The third proportional to 214,576 and 315,292 is: 463,281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,576 : 315,292 = 315,292 : x
  2. Step 2: Convert to fraction form
    214,576/315,292 = 315,292/x
  3. Step 3: Cross multiply
    214,576x = 315,292 × 315,292
  4. Step 4: Simplify right side
    214,576x = 99,409,045,264
  5. Step 5: Solve for x
    x = 99,409,045,264/214,576
  6. Step 6: Final answer
    x = 463,281.29

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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.