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Finding the Third Proportional to 408,695.63 and 613,180.13

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Solution

The third proportional to 408,695.63 and 613,180.13 is: 919,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,695.63 : 613,180.13 = 613,180.13 : x
  2. Step 2: Convert to fraction form
    408,695.63/613,180.13 = 613,180.13/x
  3. Step 3: Cross multiply
    408,695.63x = 613,180.13 × 613,180.13
  4. Step 4: Simplify right side
    408,695.63x = 375,989,865,695.02
  5. Step 5: Solve for x
    x = 375,989,865,695.02/408,695.63
  6. Step 6: Final answer
    x = 919,975.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.