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Finding the Third Proportional to 153,412 and 328,142

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Solution

The third proportional to 153,412 and 328,142 is: 701,882.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,412 : 328,142 = 328,142 : x
  2. Step 2: Convert to fraction form
    153,412/328,142 = 328,142/x
  3. Step 3: Cross multiply
    153,412x = 328,142 × 328,142
  4. Step 4: Simplify right side
    153,412x = 107,677,172,164
  5. Step 5: Solve for x
    x = 107,677,172,164/153,412
  6. Step 6: Final answer
    x = 701,882.33

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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.