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Finding the Third Proportional to 200,748 and 436,487

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Solution

The third proportional to 200,748 and 436,487 is: 949,055.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748 : 436,487 = 436,487 : x
  2. Step 2: Convert to fraction form
    200,748/436,487 = 436,487/x
  3. Step 3: Cross multiply
    200,748x = 436,487 × 436,487
  4. Step 4: Simplify right side
    200,748x = 190,520,901,169
  5. Step 5: Solve for x
    x = 190,520,901,169/200,748
  6. Step 6: Final answer
    x = 949,055.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.