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Finding the Third Proportional to 249,922 and 399,720

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Solution

The third proportional to 249,922 and 399,720 is: 639,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,922 : 399,720 = 399,720 : x
  2. Step 2: Convert to fraction form
    249,922/399,720 = 399,720/x
  3. Step 3: Cross multiply
    249,922x = 399,720 × 399,720
  4. Step 4: Simplify right side
    249,922x = 159,776,078,400
  5. Step 5: Solve for x
    x = 159,776,078,400/249,922
  6. Step 6: Final answer
    x = 639,303.78

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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.