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Finding the Third Proportional to 406,516 and 612,771

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Solution

The third proportional to 406,516 and 612,771 is: 923,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,516 : 612,771 = 612,771 : x
  2. Step 2: Convert to fraction form
    406,516/612,771 = 612,771/x
  3. Step 3: Cross multiply
    406,516x = 612,771 × 612,771
  4. Step 4: Simplify right side
    406,516x = 375,488,298,441
  5. Step 5: Solve for x
    x = 375,488,298,441/406,516
  6. Step 6: Final answer
    x = 923,674.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.