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Finding the Third Proportional to 153,426 and 328,173

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Solution

The third proportional to 153,426 and 328,173 is: 701,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,426 : 328,173 = 328,173 : x
  2. Step 2: Convert to fraction form
    153,426/328,173 = 328,173/x
  3. Step 3: Cross multiply
    153,426x = 328,173 × 328,173
  4. Step 4: Simplify right side
    153,426x = 107,697,517,929
  5. Step 5: Solve for x
    x = 107,697,517,929/153,426
  6. Step 6: Final answer
    x = 701,950.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.