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Finding the Third Proportional to 490,725 and 695,898

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Solution

The third proportional to 490,725 and 695,898 is: 986,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,725 : 695,898 = 695,898 : x
  2. Step 2: Convert to fraction form
    490,725/695,898 = 695,898/x
  3. Step 3: Cross multiply
    490,725x = 695,898 × 695,898
  4. Step 4: Simplify right side
    490,725x = 484,274,026,404
  5. Step 5: Solve for x
    x = 484,274,026,404/490,725
  6. Step 6: Final answer
    x = 986,854.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.