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Finding the Third Proportional to 399,732 and 615,036

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Solution

The third proportional to 399,732 and 615,036 is: 946,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,732 : 615,036 = 615,036 : x
  2. Step 2: Convert to fraction form
    399,732/615,036 = 615,036/x
  3. Step 3: Cross multiply
    399,732x = 615,036 × 615,036
  4. Step 4: Simplify right side
    399,732x = 378,269,281,296
  5. Step 5: Solve for x
    x = 378,269,281,296/399,732
  6. Step 6: Final answer
    x = 946,307.23

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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.