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Finding the Third Proportional to 216,407 and 470,920

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Solution

The third proportional to 216,407 and 470,920 is: 1,024,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,407 : 470,920 = 470,920 : x
  2. Step 2: Convert to fraction form
    216,407/470,920 = 470,920/x
  3. Step 3: Cross multiply
    216,407x = 470,920 × 470,920
  4. Step 4: Simplify right side
    216,407x = 221,765,646,400
  5. Step 5: Solve for x
    x = 221,765,646,400/216,407
  6. Step 6: Final answer
    x = 1,024,761.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.