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Finding the Third Proportional to 378,047 and 598,909

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Solution

The third proportional to 378,047 and 598,909 is: 948,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,047 : 598,909 = 598,909 : x
  2. Step 2: Convert to fraction form
    378,047/598,909 = 598,909/x
  3. Step 3: Cross multiply
    378,047x = 598,909 × 598,909
  4. Step 4: Simplify right side
    378,047x = 358,691,990,281
  5. Step 5: Solve for x
    x = 358,691,990,281/378,047
  6. Step 6: Final answer
    x = 948,802.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.