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Finding the Third Proportional to 122,021 and 249,988

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Solution

The third proportional to 122,021 and 249,988 is: 512,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,021 : 249,988 = 249,988 : x
  2. Step 2: Convert to fraction form
    122,021/249,988 = 249,988/x
  3. Step 3: Cross multiply
    122,021x = 249,988 × 249,988
  4. Step 4: Simplify right side
    122,021x = 62,494,000,144
  5. Step 5: Solve for x
    x = 62,494,000,144/122,021
  6. Step 6: Final answer
    x = 512,157.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.