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Finding the Third Proportional to 121,502 and 249,016

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Solution

The third proportional to 121,502 and 249,016 is: 510,353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,502 : 249,016 = 249,016 : x
  2. Step 2: Convert to fraction form
    121,502/249,016 = 249,016/x
  3. Step 3: Cross multiply
    121,502x = 249,016 × 249,016
  4. Step 4: Simplify right side
    121,502x = 62,008,968,256
  5. Step 5: Solve for x
    x = 62,008,968,256/121,502
  6. Step 6: Final answer
    x = 510,353.48

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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.