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Finding the Third Proportional to 479,791,698 and 737,146,921.50

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Solution

The third proportional to 479,791,698 and 737,146,921.50 is: 1,132,544,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,791,698 : 737,146,921.50 = 737,146,921.50 : x
  2. Step 2: Convert to fraction form
    479,791,698/737,146,921.50 = 737,146,921.50/x
  3. Step 3: Cross multiply
    479,791,698x = 737,146,921.50 × 737,146,921.50
  4. Step 4: Simplify right side
    479,791,698x = 543,385,583,876,927,168
  5. Step 5: Solve for x
    x = 543,385,583,876,927,168/479,791,698
  6. Step 6: Final answer
    x = 1,132,544,781.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.