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Finding the Third Proportional to 432,933,730 and 945,224,348

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Solution

The third proportional to 432,933,730 and 945,224,348 is: 2,063,708,614.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,933,730 : 945,224,348 = 945,224,348 : x
  2. Step 2: Convert to fraction form
    432,933,730/945,224,348 = 945,224,348/x
  3. Step 3: Cross multiply
    432,933,730x = 945,224,348 × 945,224,348
  4. Step 4: Simplify right side
    432,933,730x = 893,449,068,052,025,088
  5. Step 5: Solve for x
    x = 893,449,068,052,025,088/432,933,730
  6. Step 6: Final answer
    x = 2,063,708,614.37

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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.