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Finding the Third Proportional to 287,611 and 624,919

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Solution

The third proportional to 287,611 and 624,919 is: 1,357,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,611 : 624,919 = 624,919 : x
  2. Step 2: Convert to fraction form
    287,611/624,919 = 624,919/x
  3. Step 3: Cross multiply
    287,611x = 624,919 × 624,919
  4. Step 4: Simplify right side
    287,611x = 390,523,756,561
  5. Step 5: Solve for x
    x = 390,523,756,561/287,611
  6. Step 6: Final answer
    x = 1,357,819.26

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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.