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Finding the Third Proportional to 287,295.50 and 624,345

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Solution

The third proportional to 287,295.50 and 624,345 is: 1,356,814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,295.50 : 624,345 = 624,345 : x
  2. Step 2: Convert to fraction form
    287,295.50/624,345 = 624,345/x
  3. Step 3: Cross multiply
    287,295.50x = 624,345 × 624,345
  4. Step 4: Simplify right side
    287,295.50x = 389,806,679,025
  5. Step 5: Solve for x
    x = 389,806,679,025/287,295.50
  6. Step 6: Final answer
    x = 1,356,814.43

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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.