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Finding the Third Proportional to 121,002.75 and 249,779.25

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Solution

The third proportional to 121,002.75 and 249,779.25 is: 515,605.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,002.75 : 249,779.25 = 249,779.25 : x
  2. Step 2: Convert to fraction form
    121,002.75/249,779.25 = 249,779.25/x
  3. Step 3: Cross multiply
    121,002.75x = 249,779.25 × 249,779.25
  4. Step 4: Simplify right side
    121,002.75x = 62,389,673,730.56
  5. Step 5: Solve for x
    x = 62,389,673,730.56/121,002.75
  6. Step 6: Final answer
    x = 515,605.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.