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Finding the Third Proportional to 287,572.50 and 624,825

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Solution

The third proportional to 287,572.50 and 624,825 is: 1,357,592.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,572.50 : 624,825 = 624,825 : x
  2. Step 2: Convert to fraction form
    287,572.50/624,825 = 624,825/x
  3. Step 3: Cross multiply
    287,572.50x = 624,825 × 624,825
  4. Step 4: Simplify right side
    287,572.50x = 390,406,280,625
  5. Step 5: Solve for x
    x = 390,406,280,625/287,572.50
  6. Step 6: Final answer
    x = 1,357,592.54

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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.