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Finding the Third Proportional to 170,531 and 358,738

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Solution

The third proportional to 170,531 and 358,738 is: 754,660.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,531 : 358,738 = 358,738 : x
  2. Step 2: Convert to fraction form
    170,531/358,738 = 358,738/x
  3. Step 3: Cross multiply
    170,531x = 358,738 × 358,738
  4. Step 4: Simplify right side
    170,531x = 128,692,952,644
  5. Step 5: Solve for x
    x = 128,692,952,644/170,531
  6. Step 6: Final answer
    x = 754,660.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.