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Finding the Third Proportional to 407,748 and 867,982

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Solution

The third proportional to 407,748 and 867,982 is: 1,847,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,748 : 867,982 = 867,982 : x
  2. Step 2: Convert to fraction form
    407,748/867,982 = 867,982/x
  3. Step 3: Cross multiply
    407,748x = 867,982 × 867,982
  4. Step 4: Simplify right side
    407,748x = 753,392,752,324
  5. Step 5: Solve for x
    x = 753,392,752,324/407,748
  6. Step 6: Final answer
    x = 1,847,692.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.