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Finding the Third Proportional to 499,086 and 698,481

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Solution

The third proportional to 499,086 and 698,481 is: 977,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,086 : 698,481 = 698,481 : x
  2. Step 2: Convert to fraction form
    499,086/698,481 = 698,481/x
  3. Step 3: Cross multiply
    499,086x = 698,481 × 698,481
  4. Step 4: Simplify right side
    499,086x = 487,875,707,361
  5. Step 5: Solve for x
    x = 487,875,707,361/499,086
  6. Step 6: Final answer
    x = 977,538.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.