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Finding the Third Proportional to 99,640,732.50 and 140,254,800.75

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Solution

The third proportional to 99,640,732.50 and 140,254,800.75 is: 197,423,369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,640,732.50 : 140,254,800.75 = 140,254,800.75 : x
  2. Step 2: Convert to fraction form
    99,640,732.50/140,254,800.75 = 140,254,800.75/x
  3. Step 3: Cross multiply
    99,640,732.50x = 140,254,800.75 × 140,254,800.75
  4. Step 4: Simplify right side
    99,640,732.50x = 19,671,409,133,422,200
  5. Step 5: Solve for x
    x = 19,671,409,133,422,200/99,640,732.50
  6. Step 6: Final answer
    x = 197,423,369.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.