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Finding the Third Proportional to 278,278 and 609,036

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Solution

The third proportional to 278,278 and 609,036 is: 1,332,929.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,278 : 609,036 = 609,036 : x
  2. Step 2: Convert to fraction form
    278,278/609,036 = 609,036/x
  3. Step 3: Cross multiply
    278,278x = 609,036 × 609,036
  4. Step 4: Simplify right side
    278,278x = 370,924,849,296
  5. Step 5: Solve for x
    x = 370,924,849,296/278,278
  6. Step 6: Final answer
    x = 1,332,929.12

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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.