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Finding the Third Proportional to 657,925 and 991,747

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Solution

The third proportional to 657,925 and 991,747 is: 1,494,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,925 : 991,747 = 991,747 : x
  2. Step 2: Convert to fraction form
    657,925/991,747 = 991,747/x
  3. Step 3: Cross multiply
    657,925x = 991,747 × 991,747
  4. Step 4: Simplify right side
    657,925x = 983,562,112,009
  5. Step 5: Solve for x
    x = 983,562,112,009/657,925
  6. Step 6: Final answer
    x = 1,494,945.64

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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.