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Finding the Third Proportional to 180,809,918 and 392,443,410

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Solution

The third proportional to 180,809,918 and 392,443,410 is: 851,788,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,809,918 : 392,443,410 = 392,443,410 : x
  2. Step 2: Convert to fraction form
    180,809,918/392,443,410 = 392,443,410/x
  3. Step 3: Cross multiply
    180,809,918x = 392,443,410 × 392,443,410
  4. Step 4: Simplify right side
    180,809,918x = 154,011,830,052,428,096
  5. Step 5: Solve for x
    x = 154,011,830,052,428,096/180,809,918
  6. Step 6: Final answer
    x = 851,788,617.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.