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Finding the Third Proportional to 200,656 and 417,920

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Solution

The third proportional to 200,656 and 417,920 is: 870,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,656 : 417,920 = 417,920 : x
  2. Step 2: Convert to fraction form
    200,656/417,920 = 417,920/x
  3. Step 3: Cross multiply
    200,656x = 417,920 × 417,920
  4. Step 4: Simplify right side
    200,656x = 174,657,126,400
  5. Step 5: Solve for x
    x = 174,657,126,400/200,656
  6. Step 6: Final answer
    x = 870,430.62

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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.