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Finding the Third Proportional to 498,699 and 747,855

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Solution

The third proportional to 498,699 and 747,855 is: 1,121,492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,699 : 747,855 = 747,855 : x
  2. Step 2: Convert to fraction form
    498,699/747,855 = 747,855/x
  3. Step 3: Cross multiply
    498,699x = 747,855 × 747,855
  4. Step 4: Simplify right side
    498,699x = 559,287,101,025
  5. Step 5: Solve for x
    x = 559,287,101,025/498,699
  6. Step 6: Final answer
    x = 1,121,492.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.