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Finding the Third Proportional to 200,484 and 417,502

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Solution

The third proportional to 200,484 and 417,502 is: 869,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,484 : 417,502 = 417,502 : x
  2. Step 2: Convert to fraction form
    200,484/417,502 = 417,502/x
  3. Step 3: Cross multiply
    200,484x = 417,502 × 417,502
  4. Step 4: Simplify right side
    200,484x = 174,307,920,004
  5. Step 5: Solve for x
    x = 174,307,920,004/200,484
  6. Step 6: Final answer
    x = 869,435.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.