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Finding the Third Proportional to 219,867 and 470,862

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Solution

The third proportional to 219,867 and 470,862 is: 1,008,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,867 : 470,862 = 470,862 : x
  2. Step 2: Convert to fraction form
    219,867/470,862 = 470,862/x
  3. Step 3: Cross multiply
    219,867x = 470,862 × 470,862
  4. Step 4: Simplify right side
    219,867x = 221,711,023,044
  5. Step 5: Solve for x
    x = 221,711,023,044/219,867
  6. Step 6: Final answer
    x = 1,008,386.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.