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Finding the Third Proportional to 839,517 and 1,331,484

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Solution

The third proportional to 839,517 and 1,331,484 is: 2,111,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,517 : 1,331,484 = 1,331,484 : x
  2. Step 2: Convert to fraction form
    839,517/1,331,484 = 1,331,484/x
  3. Step 3: Cross multiply
    839,517x = 1,331,484 × 1,331,484
  4. Step 4: Simplify right side
    839,517x = 1,772,849,642,256
  5. Step 5: Solve for x
    x = 1,772,849,642,256/839,517
  6. Step 6: Final answer
    x = 2,111,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.