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Finding the Third Proportional to 121,670 and 249,172

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Solution

The third proportional to 121,670 and 249,172 is: 510,287.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,670 : 249,172 = 249,172 : x
  2. Step 2: Convert to fraction form
    121,670/249,172 = 249,172/x
  3. Step 3: Cross multiply
    121,670x = 249,172 × 249,172
  4. Step 4: Simplify right side
    121,670x = 62,086,685,584
  5. Step 5: Solve for x
    x = 62,086,685,584/121,670
  6. Step 6: Final answer
    x = 510,287.54

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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.