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Finding the Third Proportional to 278,733 and 411,537

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Solution

The third proportional to 278,733 and 411,537 is: 607,616.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,733 : 411,537 = 411,537 : x
  2. Step 2: Convert to fraction form
    278,733/411,537 = 411,537/x
  3. Step 3: Cross multiply
    278,733x = 411,537 × 411,537
  4. Step 4: Simplify right side
    278,733x = 169,362,702,369
  5. Step 5: Solve for x
    x = 169,362,702,369/278,733
  6. Step 6: Final answer
    x = 607,616.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.