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Finding the Third Proportional to 657,336 and 990,324

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Solution

The third proportional to 657,336 and 990,324 is: 1,491,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,336 : 990,324 = 990,324 : x
  2. Step 2: Convert to fraction form
    657,336/990,324 = 990,324/x
  3. Step 3: Cross multiply
    657,336x = 990,324 × 990,324
  4. Step 4: Simplify right side
    657,336x = 980,741,624,976
  5. Step 5: Solve for x
    x = 980,741,624,976/657,336
  6. Step 6: Final answer
    x = 1,491,994.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.