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Finding the Third Proportional to 432,933,735 and 945,224,358

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Solution

The third proportional to 432,933,735 and 945,224,358 is: 2,063,708,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,933,735 : 945,224,358 = 945,224,358 : x
  2. Step 2: Convert to fraction form
    432,933,735/945,224,358 = 945,224,358/x
  3. Step 3: Cross multiply
    432,933,735x = 945,224,358 × 945,224,358
  4. Step 4: Simplify right side
    432,933,735x = 893,449,086,956,512,128
  5. Step 5: Solve for x
    x = 893,449,086,956,512,128/432,933,735
  6. Step 6: Final answer
    x = 2,063,708,634.20

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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.