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Finding the Third Proportional to 213,808 and 461,516

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Solution

The third proportional to 213,808 and 461,516 is: 996,206.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,808 : 461,516 = 461,516 : x
  2. Step 2: Convert to fraction form
    213,808/461,516 = 461,516/x
  3. Step 3: Cross multiply
    213,808x = 461,516 × 461,516
  4. Step 4: Simplify right side
    213,808x = 212,997,018,256
  5. Step 5: Solve for x
    x = 212,997,018,256/213,808
  6. Step 6: Final answer
    x = 996,206.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.