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Finding the Third Proportional to 427,716 and 640,293

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Solution

The third proportional to 427,716 and 640,293 is: 958,521.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,716 : 640,293 = 640,293 : x
  2. Step 2: Convert to fraction form
    427,716/640,293 = 640,293/x
  3. Step 3: Cross multiply
    427,716x = 640,293 × 640,293
  4. Step 4: Simplify right side
    427,716x = 409,975,125,849
  5. Step 5: Solve for x
    x = 409,975,125,849/427,716
  6. Step 6: Final answer
    x = 958,521.84

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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.