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Finding the Third Proportional to 216,012 and 316,722

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Solution

The third proportional to 216,012 and 316,722 is: 464,385.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,012 : 316,722 = 316,722 : x
  2. Step 2: Convert to fraction form
    216,012/316,722 = 316,722/x
  3. Step 3: Cross multiply
    216,012x = 316,722 × 316,722
  4. Step 4: Simplify right side
    216,012x = 100,312,825,284
  5. Step 5: Solve for x
    x = 100,312,825,284/216,012
  6. Step 6: Final answer
    x = 464,385.43

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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.