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Finding the Third Proportional to 249,920 and 399,717

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Solution

The third proportional to 249,920 and 399,717 is: 639,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,920 : 399,717 = 399,717 : x
  2. Step 2: Convert to fraction form
    249,920/399,717 = 399,717/x
  3. Step 3: Cross multiply
    249,920x = 399,717 × 399,717
  4. Step 4: Simplify right side
    249,920x = 159,773,680,089
  5. Step 5: Solve for x
    x = 159,773,680,089/249,920
  6. Step 6: Final answer
    x = 639,299.30

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Why These Related Problems?

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