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Finding the Third Proportional to 388,273 and 569,503

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Solution

The third proportional to 388,273 and 569,503 is: 835,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,273 : 569,503 = 569,503 : x
  2. Step 2: Convert to fraction form
    388,273/569,503 = 569,503/x
  3. Step 3: Cross multiply
    388,273x = 569,503 × 569,503
  4. Step 4: Simplify right side
    388,273x = 324,333,667,009
  5. Step 5: Solve for x
    x = 324,333,667,009/388,273
  6. Step 6: Final answer
    x = 835,323.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.