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Finding the Third Proportional to 278,276 and 609,032

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Solution

The third proportional to 278,276 and 609,032 is: 1,332,921.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,276 : 609,032 = 609,032 : x
  2. Step 2: Convert to fraction form
    278,276/609,032 = 609,032/x
  3. Step 3: Cross multiply
    278,276x = 609,032 × 609,032
  4. Step 4: Simplify right side
    278,276x = 370,919,977,024
  5. Step 5: Solve for x
    x = 370,919,977,024/278,276
  6. Step 6: Final answer
    x = 1,332,921.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.