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Finding the Third Proportional to 218,610 and 470,433

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Solution

The third proportional to 218,610 and 470,433 is: 1,012,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,610 : 470,433 = 470,433 : x
  2. Step 2: Convert to fraction form
    218,610/470,433 = 470,433/x
  3. Step 3: Cross multiply
    218,610x = 470,433 × 470,433
  4. Step 4: Simplify right side
    218,610x = 221,307,207,489
  5. Step 5: Solve for x
    x = 221,307,207,489/218,610
  6. Step 6: Final answer
    x = 1,012,337.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.