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Finding the Third Proportional to 812,113,988 and 1,203,422,906

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Solution

The third proportional to 812,113,988 and 1,203,422,906 is: 1,783,280,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,113,988 : 1,203,422,906 = 1,203,422,906 : x
  2. Step 2: Convert to fraction form
    812,113,988/1,203,422,906 = 1,203,422,906/x
  3. Step 3: Cross multiply
    812,113,988x = 1,203,422,906 × 1,203,422,906
  4. Step 4: Simplify right side
    812,113,988x = 1,448,226,690,685,484,800
  5. Step 5: Solve for x
    x = 1,448,226,690,685,484,800/812,113,988
  6. Step 6: Final answer
    x = 1,783,280,071.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.