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Finding the Third Proportional to 117,223,743 and 172,324,102.50

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Solution

The third proportional to 117,223,743 and 172,324,102.50 is: 253,324,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,223,743 : 172,324,102.50 = 172,324,102.50 : x
  2. Step 2: Convert to fraction form
    117,223,743/172,324,102.50 = 172,324,102.50/x
  3. Step 3: Cross multiply
    117,223,743x = 172,324,102.50 × 172,324,102.50
  4. Step 4: Simplify right side
    117,223,743x = 29,695,596,302,430,508
  5. Step 5: Solve for x
    x = 29,695,596,302,430,508/117,223,743
  6. Step 6: Final answer
    x = 253,324,075.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.