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Finding the Third Proportional to 153,102.38 and 328,338

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Solution

The third proportional to 153,102.38 and 328,338 is: 704,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,102.38 : 328,338 = 328,338 : x
  2. Step 2: Convert to fraction form
    153,102.38/328,338 = 328,338/x
  3. Step 3: Cross multiply
    153,102.38x = 328,338 × 328,338
  4. Step 4: Simplify right side
    153,102.38x = 107,805,842,244
  5. Step 5: Solve for x
    x = 107,805,842,244/153,102.38
  6. Step 6: Final answer
    x = 704,142.19

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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.