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Finding the Third Proportional to 403,715 and 849,253

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Solution

The third proportional to 403,715 and 849,253 is: 1,786,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,715 : 849,253 = 849,253 : x
  2. Step 2: Convert to fraction form
    403,715/849,253 = 849,253/x
  3. Step 3: Cross multiply
    403,715x = 849,253 × 849,253
  4. Step 4: Simplify right side
    403,715x = 721,230,658,009
  5. Step 5: Solve for x
    x = 721,230,658,009/403,715
  6. Step 6: Final answer
    x = 1,786,484.67

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Why These Related Problems?

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