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Finding the Third Proportional to 215,419 and 470,970

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Solution

The third proportional to 215,419 and 470,970 is: 1,029,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,419 : 470,970 = 470,970 : x
  2. Step 2: Convert to fraction form
    215,419/470,970 = 470,970/x
  3. Step 3: Cross multiply
    215,419x = 470,970 × 470,970
  4. Step 4: Simplify right side
    215,419x = 221,812,740,900
  5. Step 5: Solve for x
    x = 221,812,740,900/215,419
  6. Step 6: Final answer
    x = 1,029,680.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.