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Finding the Third Proportional to 214,820 and 315,654

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Solution

The third proportional to 214,820 and 315,654 is: 463,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,820 : 315,654 = 315,654 : x
  2. Step 2: Convert to fraction form
    214,820/315,654 = 315,654/x
  3. Step 3: Cross multiply
    214,820x = 315,654 × 315,654
  4. Step 4: Simplify right side
    214,820x = 99,637,447,716
  5. Step 5: Solve for x
    x = 99,637,447,716/214,820
  6. Step 6: Final answer
    x = 463,818.30

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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.