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Finding the Third Proportional to 287,516 and 623,902

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Solution

The third proportional to 287,516 and 623,902 is: 1,353,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,516 : 623,902 = 623,902 : x
  2. Step 2: Convert to fraction form
    287,516/623,902 = 623,902/x
  3. Step 3: Cross multiply
    287,516x = 623,902 × 623,902
  4. Step 4: Simplify right side
    287,516x = 389,253,705,604
  5. Step 5: Solve for x
    x = 389,253,705,604/287,516
  6. Step 6: Final answer
    x = 1,353,850.59

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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.