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Finding the Third Proportional to 402,238 and 623,224

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Solution

The third proportional to 402,238 and 623,224 is: 965,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,238 : 623,224 = 623,224 : x
  2. Step 2: Convert to fraction form
    402,238/623,224 = 623,224/x
  3. Step 3: Cross multiply
    402,238x = 623,224 × 623,224
  4. Step 4: Simplify right side
    402,238x = 388,408,154,176
  5. Step 5: Solve for x
    x = 388,408,154,176/402,238
  6. Step 6: Final answer
    x = 965,617.75

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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.