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Finding the Third Proportional to 72,909,976.50 and 172,110,867.75

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Solution

The third proportional to 72,909,976.50 and 172,110,867.75 is: 406,283,916.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,909,976.50 : 172,110,867.75 = 172,110,867.75 : x
  2. Step 2: Convert to fraction form
    72,909,976.50/172,110,867.75 = 172,110,867.75/x
  3. Step 3: Cross multiply
    72,909,976.50x = 172,110,867.75 × 172,110,867.75
  4. Step 4: Simplify right side
    72,909,976.50x = 29,622,150,797,657,992
  5. Step 5: Solve for x
    x = 29,622,150,797,657,992/72,909,976.50
  6. Step 6: Final answer
    x = 406,283,916.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.