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Finding the Third Proportional to 130,456,854 and 279,588,163.50

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Solution

The third proportional to 130,456,854 and 279,588,163.50 is: 599,198,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,456,854 : 279,588,163.50 = 279,588,163.50 : x
  2. Step 2: Convert to fraction form
    130,456,854/279,588,163.50 = 279,588,163.50/x
  3. Step 3: Cross multiply
    130,456,854x = 279,588,163.50 × 279,588,163.50
  4. Step 4: Simplify right side
    130,456,854x = 78,169,541,169,302,736
  5. Step 5: Solve for x
    x = 78,169,541,169,302,736/130,456,854
  6. Step 6: Final answer
    x = 599,198,422.87

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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.