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Finding the Third Proportional to 171,658 and 358,996

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Solution

The third proportional to 171,658 and 358,996 is: 750,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,658 : 358,996 = 358,996 : x
  2. Step 2: Convert to fraction form
    171,658/358,996 = 358,996/x
  3. Step 3: Cross multiply
    171,658x = 358,996 × 358,996
  4. Step 4: Simplify right side
    171,658x = 128,878,128,016
  5. Step 5: Solve for x
    x = 128,878,128,016/171,658
  6. Step 6: Final answer
    x = 750,784.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.