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Finding the Third Proportional to 198,334,820 and 428,538,604

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Solution

The third proportional to 198,334,820 and 428,538,604 is: 925,935,925.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,334,820 : 428,538,604 = 428,538,604 : x
  2. Step 2: Convert to fraction form
    198,334,820/428,538,604 = 428,538,604/x
  3. Step 3: Cross multiply
    198,334,820x = 428,538,604 × 428,538,604
  4. Step 4: Simplify right side
    198,334,820x = 183,645,335,118,268,800
  5. Step 5: Solve for x
    x = 183,645,335,118,268,800/198,334,820
  6. Step 6: Final answer
    x = 925,935,925.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.