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Finding the Third Proportional to 153,569 and 329,368

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Solution

The third proportional to 153,569 and 329,368 is: 706,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,569 : 329,368 = 329,368 : x
  2. Step 2: Convert to fraction form
    153,569/329,368 = 329,368/x
  3. Step 3: Cross multiply
    153,569x = 329,368 × 329,368
  4. Step 4: Simplify right side
    153,569x = 108,483,279,424
  5. Step 5: Solve for x
    x = 108,483,279,424/153,569
  6. Step 6: Final answer
    x = 706,413.92

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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.