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Finding the Third Proportional to 153,800 and 216,486

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Solution

The third proportional to 153,800 and 216,486 is: 304,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,800 : 216,486 = 216,486 : x
  2. Step 2: Convert to fraction form
    153,800/216,486 = 216,486/x
  3. Step 3: Cross multiply
    153,800x = 216,486 × 216,486
  4. Step 4: Simplify right side
    153,800x = 46,866,188,196
  5. Step 5: Solve for x
    x = 46,866,188,196/153,800
  6. Step 6: Final answer
    x = 304,721.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.