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Finding the Third Proportional to 286,472 and 623,920

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Solution

The third proportional to 286,472 and 623,920 is: 1,358,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,472 : 623,920 = 623,920 : x
  2. Step 2: Convert to fraction form
    286,472/623,920 = 623,920/x
  3. Step 3: Cross multiply
    286,472x = 623,920 × 623,920
  4. Step 4: Simplify right side
    286,472x = 389,276,166,400
  5. Step 5: Solve for x
    x = 389,276,166,400/286,472
  6. Step 6: Final answer
    x = 1,358,862.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.