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Finding the Third Proportional to 163,409 and 249,815

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Solution

The third proportional to 163,409 and 249,815 is: 381,910.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,409 : 249,815 = 249,815 : x
  2. Step 2: Convert to fraction form
    163,409/249,815 = 249,815/x
  3. Step 3: Cross multiply
    163,409x = 249,815 × 249,815
  4. Step 4: Simplify right side
    163,409x = 62,407,534,225
  5. Step 5: Solve for x
    x = 62,407,534,225/163,409
  6. Step 6: Final answer
    x = 381,910.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.