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Finding the Third Proportional to 788,402 and 1,213,491

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Solution

The third proportional to 788,402 and 1,213,491 is: 1,867,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,402 : 1,213,491 = 1,213,491 : x
  2. Step 2: Convert to fraction form
    788,402/1,213,491 = 1,213,491/x
  3. Step 3: Cross multiply
    788,402x = 1,213,491 × 1,213,491
  4. Step 4: Simplify right side
    788,402x = 1,472,560,407,081
  5. Step 5: Solve for x
    x = 1,472,560,407,081/788,402
  6. Step 6: Final answer
    x = 1,867,778.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.