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Finding the Third Proportional to 165,999 and 249,120

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Solution

The third proportional to 165,999 and 249,120 is: 373,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,999 : 249,120 = 249,120 : x
  2. Step 2: Convert to fraction form
    165,999/249,120 = 249,120/x
  3. Step 3: Cross multiply
    165,999x = 249,120 × 249,120
  4. Step 4: Simplify right side
    165,999x = 62,060,774,400
  5. Step 5: Solve for x
    x = 62,060,774,400/165,999
  6. Step 6: Final answer
    x = 373,862.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.