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Finding the Third Proportional to 191,300,796 and 304,544,880

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Solution

The third proportional to 191,300,796 and 304,544,880 is: 484,825,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,300,796 : 304,544,880 = 304,544,880 : x
  2. Step 2: Convert to fraction form
    191,300,796/304,544,880 = 304,544,880/x
  3. Step 3: Cross multiply
    191,300,796x = 304,544,880 × 304,544,880
  4. Step 4: Simplify right side
    191,300,796x = 92,747,583,934,214,400
  5. Step 5: Solve for x
    x = 92,747,583,934,214,400/191,300,796
  6. Step 6: Final answer
    x = 484,825,917.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.