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Finding the Third Proportional to 432,933,504 and 945,223,890

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Solution

The third proportional to 432,933,504 and 945,223,890 is: 2,063,707,691.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,933,504 : 945,223,890 = 945,223,890 : x
  2. Step 2: Convert to fraction form
    432,933,504/945,223,890 = 945,223,890/x
  3. Step 3: Cross multiply
    432,933,504x = 945,223,890 × 945,223,890
  4. Step 4: Simplify right side
    432,933,504x = 893,448,202,226,732,160
  5. Step 5: Solve for x
    x = 893,448,202,226,732,160/432,933,504
  6. Step 6: Final answer
    x = 2,063,707,691.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.