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Finding the Third Proportional to 255,550 and 393,988

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Solution

The third proportional to 255,550 and 393,988 is: 607,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,550 : 393,988 = 393,988 : x
  2. Step 2: Convert to fraction form
    255,550/393,988 = 393,988/x
  3. Step 3: Cross multiply
    255,550x = 393,988 × 393,988
  4. Step 4: Simplify right side
    255,550x = 155,226,544,144
  5. Step 5: Solve for x
    x = 155,226,544,144/255,550
  6. Step 6: Final answer
    x = 607,421.42

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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.