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Finding the Third Proportional to 386,569.13 and 421,615.13

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Solution

The third proportional to 386,569.13 and 421,615.13 is: 459,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,569.13 : 421,615.13 = 421,615.13 : x
  2. Step 2: Convert to fraction form
    386,569.13/421,615.13 = 421,615.13/x
  3. Step 3: Cross multiply
    386,569.13x = 421,615.13 × 421,615.13
  4. Step 4: Simplify right side
    386,569.13x = 177,759,313,628.77
  5. Step 5: Solve for x
    x = 177,759,313,628.77/386,569.13
  6. Step 6: Final answer
    x = 459,838.36

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.