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Finding the Third Proportional to 249,912 and 399,704

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Solution

The third proportional to 249,912 and 399,704 is: 639,278.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,912 : 399,704 = 399,704 : x
  2. Step 2: Convert to fraction form
    249,912/399,704 = 399,704/x
  3. Step 3: Cross multiply
    249,912x = 399,704 × 399,704
  4. Step 4: Simplify right side
    249,912x = 159,763,287,616
  5. Step 5: Solve for x
    x = 159,763,287,616/249,912
  6. Step 6: Final answer
    x = 639,278.18

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.