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Finding the Third Proportional to 442,866 and 624,072

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Solution

The third proportional to 442,866 and 624,072 is: 879,421.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,866 : 624,072 = 624,072 : x
  2. Step 2: Convert to fraction form
    442,866/624,072 = 624,072/x
  3. Step 3: Cross multiply
    442,866x = 624,072 × 624,072
  4. Step 4: Simplify right side
    442,866x = 389,465,861,184
  5. Step 5: Solve for x
    x = 389,465,861,184/442,866
  6. Step 6: Final answer
    x = 879,421.45

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.