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Finding the Third Proportional to 402,299 and 554,172

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Solution

The third proportional to 402,299 and 554,172 is: 763,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,299 : 554,172 = 554,172 : x
  2. Step 2: Convert to fraction form
    402,299/554,172 = 554,172/x
  3. Step 3: Cross multiply
    402,299x = 554,172 × 554,172
  4. Step 4: Simplify right side
    402,299x = 307,106,605,584
  5. Step 5: Solve for x
    x = 307,106,605,584/402,299
  6. Step 6: Final answer
    x = 763,378.99

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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.