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Finding the Third Proportional to 280,420.50 and 613,329

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Solution

The third proportional to 280,420.50 and 613,329 is: 1,341,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,420.50 : 613,329 = 613,329 : x
  2. Step 2: Convert to fraction form
    280,420.50/613,329 = 613,329/x
  3. Step 3: Cross multiply
    280,420.50x = 613,329 × 613,329
  4. Step 4: Simplify right side
    280,420.50x = 376,172,462,241
  5. Step 5: Solve for x
    x = 376,172,462,241/280,420.50
  6. Step 6: Final answer
    x = 1,341,458.50

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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.