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Finding the Third Proportional to 153,901 and 329,699

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Solution

The third proportional to 153,901 and 329,699 is: 706,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,901 : 329,699 = 329,699 : x
  2. Step 2: Convert to fraction form
    153,901/329,699 = 329,699/x
  3. Step 3: Cross multiply
    153,901x = 329,699 × 329,699
  4. Step 4: Simplify right side
    153,901x = 108,701,430,601
  5. Step 5: Solve for x
    x = 108,701,430,601/153,901
  6. Step 6: Final answer
    x = 706,307.50

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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.