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Finding the Third Proportional to 401,490 and 622,035

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Solution

The third proportional to 401,490 and 622,035 is: 963,728.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,490 : 622,035 = 622,035 : x
  2. Step 2: Convert to fraction form
    401,490/622,035 = 622,035/x
  3. Step 3: Cross multiply
    401,490x = 622,035 × 622,035
  4. Step 4: Simplify right side
    401,490x = 386,927,541,225
  5. Step 5: Solve for x
    x = 386,927,541,225/401,490
  6. Step 6: Final answer
    x = 963,728.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.