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Finding the Third Proportional to 287,521 and 623,912

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Solution

The third proportional to 287,521 and 623,912 is: 1,353,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,521 : 623,912 = 623,912 : x
  2. Step 2: Convert to fraction form
    287,521/623,912 = 623,912/x
  3. Step 3: Cross multiply
    287,521x = 623,912 × 623,912
  4. Step 4: Simplify right side
    287,521x = 389,266,183,744
  5. Step 5: Solve for x
    x = 389,266,183,744/287,521
  6. Step 6: Final answer
    x = 1,353,870.44

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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.