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Finding the Third Proportional to 217,102.50 and 470,424

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Solution

The third proportional to 217,102.50 and 470,424 is: 1,019,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,102.50 : 470,424 = 470,424 : x
  2. Step 2: Convert to fraction form
    217,102.50/470,424 = 470,424/x
  3. Step 3: Cross multiply
    217,102.50x = 470,424 × 470,424
  4. Step 4: Simplify right side
    217,102.50x = 221,298,739,776
  5. Step 5: Solve for x
    x = 221,298,739,776/217,102.50
  6. Step 6: Final answer
    x = 1,019,328.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.