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Finding the Third Proportional to 915,122,187 and 1,288,693,695.38

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Solution

The third proportional to 915,122,187 and 1,288,693,695.38 is: 1,814,764,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    915,122,187 : 1,288,693,695.38 = 1,288,693,695.38 : x
  2. Step 2: Convert to fraction form
    915,122,187/1,288,693,695.38 = 1,288,693,695.38/x
  3. Step 3: Cross multiply
    915,122,187x = 1,288,693,695.38 × 1,288,693,695.38
  4. Step 4: Simplify right side
    915,122,187x = 1,660,731,440,499,273,216
  5. Step 5: Solve for x
    x = 1,660,731,440,499,273,216/915,122,187
  6. Step 6: Final answer
    x = 1,814,764,699.28

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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.