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Finding the Third Proportional to 915,122,191.50 and 1,288,693,701.75

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Solution

The third proportional to 915,122,191.50 and 1,288,693,701.75 is: 1,814,764,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,122,191.50 : 1,288,693,701.75 = 1,288,693,701.75 : x
  2. Step 2: Convert to fraction form
    915,122,191.50/1,288,693,701.75 = 1,288,693,701.75/x
  3. Step 3: Cross multiply
    915,122,191.50x = 1,288,693,701.75 × 1,288,693,701.75
  4. Step 4: Simplify right side
    915,122,191.50x = 1,660,731,456,930,117,888
  5. Step 5: Solve for x
    x = 1,660,731,456,930,117,888/915,122,191.50
  6. Step 6: Final answer
    x = 1,814,764,708.32

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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.