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Finding the Third Proportional to 209,771,410.50 and 329,069,223

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Solution

The third proportional to 209,771,410.50 and 329,069,223 is: 516,212,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,771,410.50 : 329,069,223 = 329,069,223 : x
  2. Step 2: Convert to fraction form
    209,771,410.50/329,069,223 = 329,069,223/x
  3. Step 3: Cross multiply
    209,771,410.50x = 329,069,223 × 329,069,223
  4. Step 4: Simplify right side
    209,771,410.50x = 108,286,553,525,823,728
  5. Step 5: Solve for x
    x = 108,286,553,525,823,728/209,771,410.50
  6. Step 6: Final answer
    x = 516,212,162.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.