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Finding the Third Proportional to 249,642 and 520,020

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Solution

The third proportional to 249,642 and 520,020 is: 1,083,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,642 : 520,020 = 520,020 : x
  2. Step 2: Convert to fraction form
    249,642/520,020 = 520,020/x
  3. Step 3: Cross multiply
    249,642x = 520,020 × 520,020
  4. Step 4: Simplify right side
    249,642x = 270,420,800,400
  5. Step 5: Solve for x
    x = 270,420,800,400/249,642
  6. Step 6: Final answer
    x = 1,083,234.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.