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Finding the Third Proportional to 403,740 and 849,285

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Solution

The third proportional to 403,740 and 849,285 is: 1,786,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,740 : 849,285 = 849,285 : x
  2. Step 2: Convert to fraction form
    403,740/849,285 = 849,285/x
  3. Step 3: Cross multiply
    403,740x = 849,285 × 849,285
  4. Step 4: Simplify right side
    403,740x = 721,285,011,225
  5. Step 5: Solve for x
    x = 721,285,011,225/403,740
  6. Step 6: Final answer
    x = 1,786,508.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.