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Finding the Third Proportional to 78,749,739 and 123,253,852.50

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Solution

The third proportional to 78,749,739 and 123,253,852.50 is: 192,908,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,749,739 : 123,253,852.50 = 123,253,852.50 : x
  2. Step 2: Convert to fraction form
    78,749,739/123,253,852.50 = 123,253,852.50/x
  3. Step 3: Cross multiply
    78,749,739x = 123,253,852.50 × 123,253,852.50
  4. Step 4: Simplify right side
    78,749,739x = 15,191,512,156,091,756
  5. Step 5: Solve for x
    x = 15,191,512,156,091,756/78,749,739
  6. Step 6: Final answer
    x = 192,908,730.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.