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Finding the Third Proportional to 387,015 and 597,768

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Solution

The third proportional to 387,015 and 597,768 is: 923,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,015 : 597,768 = 597,768 : x
  2. Step 2: Convert to fraction form
    387,015/597,768 = 597,768/x
  3. Step 3: Cross multiply
    387,015x = 597,768 × 597,768
  4. Step 4: Simplify right side
    387,015x = 357,326,581,824
  5. Step 5: Solve for x
    x = 357,326,581,824/387,015
  6. Step 6: Final answer
    x = 923,288.71

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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.