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Finding the Third Proportional to 286,860 and 623,472

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Solution

The third proportional to 286,860 and 623,472 is: 1,355,076.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,860 : 623,472 = 623,472 : x
  2. Step 2: Convert to fraction form
    286,860/623,472 = 623,472/x
  3. Step 3: Cross multiply
    286,860x = 623,472 × 623,472
  4. Step 4: Simplify right side
    286,860x = 388,717,334,784
  5. Step 5: Solve for x
    x = 388,717,334,784/286,860
  6. Step 6: Final answer
    x = 1,355,076.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.