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Finding the Third Proportional to 200,376 and 473,024

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Solution

The third proportional to 200,376 and 473,024 is: 1,116,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,376 : 473,024 = 473,024 : x
  2. Step 2: Convert to fraction form
    200,376/473,024 = 473,024/x
  3. Step 3: Cross multiply
    200,376x = 473,024 × 473,024
  4. Step 4: Simplify right side
    200,376x = 223,751,704,576
  5. Step 5: Solve for x
    x = 223,751,704,576/200,376
  6. Step 6: Final answer
    x = 1,116,659.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.