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Finding the Third Proportional to 402,293 and 554,163.50

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Solution

The third proportional to 402,293 and 554,163.50 is: 763,366.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,293 : 554,163.50 = 554,163.50 : x
  2. Step 2: Convert to fraction form
    402,293/554,163.50 = 554,163.50/x
  3. Step 3: Cross multiply
    402,293x = 554,163.50 × 554,163.50
  4. Step 4: Simplify right side
    402,293x = 307,097,184,732.25
  5. Step 5: Solve for x
    x = 307,097,184,732.25/402,293
  6. Step 6: Final answer
    x = 763,366.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.