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Finding the Third Proportional to 214,476 and 315,470

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Solution

The third proportional to 214,476 and 315,470 is: 464,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,476 : 315,470 = 315,470 : x
  2. Step 2: Convert to fraction form
    214,476/315,470 = 315,470/x
  3. Step 3: Cross multiply
    214,476x = 315,470 × 315,470
  4. Step 4: Simplify right side
    214,476x = 99,521,320,900
  5. Step 5: Solve for x
    x = 99,521,320,900/214,476
  6. Step 6: Final answer
    x = 464,020.78

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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.