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Finding the Third Proportional to 217,948 and 470,321

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Solution

The third proportional to 217,948 and 470,321 is: 1,014,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,948 : 470,321 = 470,321 : x
  2. Step 2: Convert to fraction form
    217,948/470,321 = 470,321/x
  3. Step 3: Cross multiply
    217,948x = 470,321 × 470,321
  4. Step 4: Simplify right side
    217,948x = 221,201,843,041
  5. Step 5: Solve for x
    x = 221,201,843,041/217,948
  6. Step 6: Final answer
    x = 1,014,929.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.