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Finding the Third Proportional to 657,151 and 994,495

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Solution

The third proportional to 657,151 and 994,495 is: 1,505,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,151 : 994,495 = 994,495 : x
  2. Step 2: Convert to fraction form
    657,151/994,495 = 994,495/x
  3. Step 3: Cross multiply
    657,151x = 994,495 × 994,495
  4. Step 4: Simplify right side
    657,151x = 989,020,305,025
  5. Step 5: Solve for x
    x = 989,020,305,025/657,151
  6. Step 6: Final answer
    x = 1,505,012.25

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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.