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Finding the Third Proportional to 278,893.13 and 604,153.69

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Solution

The third proportional to 278,893.13 and 604,153.69 is: 1,308,751.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.13 : 604,153.69 = 604,153.69 : x
  2. Step 2: Convert to fraction form
    278,893.13/604,153.69 = 604,153.69/x
  3. Step 3: Cross multiply
    278,893.13x = 604,153.69 × 604,153.69
  4. Step 4: Simplify right side
    278,893.13x = 365,001,678,119.85
  5. Step 5: Solve for x
    x = 365,001,678,119.85/278,893.13
  6. Step 6: Final answer
    x = 1,308,751.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.