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Finding the Third Proportional to 393,273 and 607,295

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Solution

The third proportional to 393,273 and 607,295 is: 937,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,273 : 607,295 = 607,295 : x
  2. Step 2: Convert to fraction form
    393,273/607,295 = 607,295/x
  3. Step 3: Cross multiply
    393,273x = 607,295 × 607,295
  4. Step 4: Simplify right side
    393,273x = 368,807,217,025
  5. Step 5: Solve for x
    x = 368,807,217,025/393,273
  6. Step 6: Final answer
    x = 937,789.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.