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Finding the Third Proportional to 216,980 and 457,288

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Solution

The third proportional to 216,980 and 457,288 is: 963,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,980 : 457,288 = 457,288 : x
  2. Step 2: Convert to fraction form
    216,980/457,288 = 457,288/x
  3. Step 3: Cross multiply
    216,980x = 457,288 × 457,288
  4. Step 4: Simplify right side
    216,980x = 209,112,314,944
  5. Step 5: Solve for x
    x = 209,112,314,944/216,980
  6. Step 6: Final answer
    x = 963,740.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.