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Finding the Third Proportional to 175,858 and 357,931

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Solution

The third proportional to 175,858 and 357,931 is: 728,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,858 : 357,931 = 357,931 : x
  2. Step 2: Convert to fraction form
    175,858/357,931 = 357,931/x
  3. Step 3: Cross multiply
    175,858x = 357,931 × 357,931
  4. Step 4: Simplify right side
    175,858x = 128,114,600,761
  5. Step 5: Solve for x
    x = 128,114,600,761/175,858
  6. Step 6: Final answer
    x = 728,511.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.