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Finding the Third Proportional to 287,188 and 626,599

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Solution

The third proportional to 287,188 and 626,599 is: 1,367,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,188 : 626,599 = 626,599 : x
  2. Step 2: Convert to fraction form
    287,188/626,599 = 626,599/x
  3. Step 3: Cross multiply
    287,188x = 626,599 × 626,599
  4. Step 4: Simplify right side
    287,188x = 392,626,306,801
  5. Step 5: Solve for x
    x = 392,626,306,801/287,188
  6. Step 6: Final answer
    x = 1,367,140.36

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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.