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Finding the Third Proportional to 291,296,305.69 and 623,912,149.13

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Solution

The third proportional to 291,296,305.69 and 623,912,149.13 is: 1,336,324,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,296,305.69 : 623,912,149.13 = 623,912,149.13 : x
  2. Step 2: Convert to fraction form
    291,296,305.69/623,912,149.13 = 623,912,149.13/x
  3. Step 3: Cross multiply
    291,296,305.69x = 623,912,149.13 × 623,912,149.13
  4. Step 4: Simplify right side
    291,296,305.69x = 389,266,369,825,776,256
  5. Step 5: Solve for x
    x = 389,266,369,825,776,256/291,296,305.69
  6. Step 6: Final answer
    x = 1,336,324,430.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.