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Finding the Third Proportional to 249,620 and 402,122

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Solution

The third proportional to 249,620 and 402,122 is: 647,793.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,620 : 402,122 = 402,122 : x
  2. Step 2: Convert to fraction form
    249,620/402,122 = 402,122/x
  3. Step 3: Cross multiply
    249,620x = 402,122 × 402,122
  4. Step 4: Simplify right side
    249,620x = 161,702,102,884
  5. Step 5: Solve for x
    x = 161,702,102,884/249,620
  6. Step 6: Final answer
    x = 647,793.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.