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Finding the Third Proportional to 170,407 and 358,441

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Solution

The third proportional to 170,407 and 358,441 is: 753,959.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,407 : 358,441 = 358,441 : x
  2. Step 2: Convert to fraction form
    170,407/358,441 = 358,441/x
  3. Step 3: Cross multiply
    170,407x = 358,441 × 358,441
  4. Step 4: Simplify right side
    170,407x = 128,479,950,481
  5. Step 5: Solve for x
    x = 128,479,950,481/170,407
  6. Step 6: Final answer
    x = 753,959.35

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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.