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Finding the Third Proportional to 214,701 and 315,486

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Solution

The third proportional to 214,701 and 315,486 is: 463,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,701 : 315,486 = 315,486 : x
  2. Step 2: Convert to fraction form
    214,701/315,486 = 315,486/x
  3. Step 3: Cross multiply
    214,701x = 315,486 × 315,486
  4. Step 4: Simplify right side
    214,701x = 99,531,416,196
  5. Step 5: Solve for x
    x = 99,531,416,196/214,701
  6. Step 6: Final answer
    x = 463,581.52

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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.