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Finding the Third Proportional to 416,720 and 622,335

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Solution

The third proportional to 416,720 and 622,335 is: 929,403.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,720 : 622,335 = 622,335 : x
  2. Step 2: Convert to fraction form
    416,720/622,335 = 622,335/x
  3. Step 3: Cross multiply
    416,720x = 622,335 × 622,335
  4. Step 4: Simplify right side
    416,720x = 387,300,852,225
  5. Step 5: Solve for x
    x = 387,300,852,225/416,720
  6. Step 6: Final answer
    x = 929,403.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.