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Finding the Third Proportional to 125,122,198.50 and 272,488,243.50

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Solution

The third proportional to 125,122,198.50 and 272,488,243.50 is: 593,418,623.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,122,198.50 : 272,488,243.50 = 272,488,243.50 : x
  2. Step 2: Convert to fraction form
    125,122,198.50/272,488,243.50 = 272,488,243.50/x
  3. Step 3: Cross multiply
    125,122,198.50x = 272,488,243.50 × 272,488,243.50
  4. Step 4: Simplify right side
    125,122,198.50x = 74,249,842,845,715,296
  5. Step 5: Solve for x
    x = 74,249,842,845,715,296/125,122,198.50
  6. Step 6: Final answer
    x = 593,418,623.84

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.