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Finding the Third Proportional to 401,224 and 623,261

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Solution

The third proportional to 401,224 and 623,261 is: 968,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,224 : 623,261 = 623,261 : x
  2. Step 2: Convert to fraction form
    401,224/623,261 = 623,261/x
  3. Step 3: Cross multiply
    401,224x = 623,261 × 623,261
  4. Step 4: Simplify right side
    401,224x = 388,454,274,121
  5. Step 5: Solve for x
    x = 388,454,274,121/401,224
  6. Step 6: Final answer
    x = 968,173.08

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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.