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Finding the Third Proportional to 387,354,028 and 829,969,112

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Solution

The third proportional to 387,354,028 and 829,969,112 is: 1,778,344,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,354,028 : 829,969,112 = 829,969,112 : x
  2. Step 2: Convert to fraction form
    387,354,028/829,969,112 = 829,969,112/x
  3. Step 3: Cross multiply
    387,354,028x = 829,969,112 × 829,969,112
  4. Step 4: Simplify right side
    387,354,028x = 688,848,726,874,068,480
  5. Step 5: Solve for x
    x = 688,848,726,874,068,480/387,354,028
  6. Step 6: Final answer
    x = 1,778,344,039.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.