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Finding the Third Proportional to 499,104 and 698,508

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Solution

The third proportional to 499,104 and 698,508 is: 977,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,104 : 698,508 = 698,508 : x
  2. Step 2: Convert to fraction form
    499,104/698,508 = 698,508/x
  3. Step 3: Cross multiply
    499,104x = 698,508 × 698,508
  4. Step 4: Simplify right side
    499,104x = 487,913,426,064
  5. Step 5: Solve for x
    x = 487,913,426,064/499,104
  6. Step 6: Final answer
    x = 977,578.67

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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.