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Finding the Third Proportional to 278,613 and 406,242

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Solution

The third proportional to 278,613 and 406,242 is: 592,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,613 : 406,242 = 406,242 : x
  2. Step 2: Convert to fraction form
    278,613/406,242 = 406,242/x
  3. Step 3: Cross multiply
    278,613x = 406,242 × 406,242
  4. Step 4: Simplify right side
    278,613x = 165,032,562,564
  5. Step 5: Solve for x
    x = 165,032,562,564/278,613
  6. Step 6: Final answer
    x = 592,336.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.