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Finding the Third Proportional to 121,409 and 190,038.38

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Solution

The third proportional to 121,409 and 190,038.38 is: 297,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,409 : 190,038.38 = 190,038.38 : x
  2. Step 2: Convert to fraction form
    121,409/190,038.38 = 190,038.38/x
  3. Step 3: Cross multiply
    121,409x = 190,038.38 × 190,038.38
  4. Step 4: Simplify right side
    121,409x = 36,114,583,972.64
  5. Step 5: Solve for x
    x = 36,114,583,972.64/121,409
  6. Step 6: Final answer
    x = 297,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.