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Finding the Third Proportional to 217,146 and 457,620

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Solution

The third proportional to 217,146 and 457,620 is: 964,402.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,146 : 457,620 = 457,620 : x
  2. Step 2: Convert to fraction form
    217,146/457,620 = 457,620/x
  3. Step 3: Cross multiply
    217,146x = 457,620 × 457,620
  4. Step 4: Simplify right side
    217,146x = 209,416,064,400
  5. Step 5: Solve for x
    x = 209,416,064,400/217,146
  6. Step 6: Final answer
    x = 964,402.13

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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.